Organic materials (such as food scraps and yard waste) in landfills can decompose and produce landfill gas ( LFG ) over time. About 50% of LFG is methane, a greenhouse gas with a global warming potential 25 times higher than that of carbon dioxide over a 100 -year period. LFG can be collected and burned to produce electricity.
i. Explain a process during which LFG is burned to produce electricity.
ii. The Puente Hills Landfill in California contains about 123 million tons of landfill waste and burns LFG to produce electricity. In a typical landfill, one million tons of landfill waste emits approximately 432,000 cubic feet of LFG per day. Calculate how much LFG is emitted at the Puente Hills Landfill per year.
iii. Burning LFG for electricity produces the additional benefit of preventing methane from entering the atmosphere. Calculate how much methane is prevented from entering the atmosphere by burning LFG to produce electricity at the Puente Hills Landfill over a 10-year period.
iv. All of the landfills in the United States that burn LFG to produce electricity produce a total of about 15 billion kilowatt-hours ( kWh ) of electricity per year. The average house in the United States uses about 30.3 kWh of electricity per day. Calculate how many households can have their total electricity needs provided by these landfills.

Answers

Answer 1

Based on the data provided:

LFG is used to produce electricity by using it as fuel in combustion turbinesthe Puente Hills Landfill will emit 1.94 * 10¹⁰ cubic feet of LFG per year9.7 * 10¹⁰ cubic feet of methane is prevented from entering the atmosphere.the number of households that can have their total electricity needs provided by these landfills is 1,368,925 households.

What is the process of electricity generation from LFG?

Landfill gas, LFG can be used to generate electricity.

It contains 50% methane which is used as fuel for energy generation.

The process of generating electricity from LFG is as follows:

It is processed to produce methane.The methane produced is combined with natural gasThe mixture is used as fuel for combustion turbines which then drives energy generation.

How much LFG is emitted at the Puente Hills Landfill per year?

From the data given:

ii) 1 million tons of landfill emits  432,000 cubic feet of LFG per day

123 million tons of landfill waste will emit 123000000 * 432000/1000000 cubic feet of LFG per day

The Puente Hills Landfill will emit 53136000 cubic feet of LFG per day

1 year = 365.25 days

Amount of LFG emitted in 1 year = 53136000 * 365.25 cubic feet of LFG per day

Amount of LFG emitted in 1 year = 1.94 * 10¹⁰ cubic feet of LFG per year

Therefore, the Puente Hills Landfill will emit 1.94 * 10¹⁰ cubic feet of LFG per year

What is the amount of methane prevented from entering the atmosphere by burning LFG to produce electricity at the Puente Hills Landfill over a 10-year period?

Volume of LFG produced in Puente Hills Landfill in 10 years is calculated below:

1.94 * 10¹⁰ cubic feet of LFG per year * 10 years = 1.94 * 10¹¹ cubic feet of LFG

Volume of methane in 1.94 * 10¹¹ cubic feet of LFG = 1.94 * 10¹¹ * 50% Volume of methane in 1.94 * 10¹¹ cubic feet of LFG = 9.7 * 10¹⁰ cubic feet of LFG

Therefore, 9.7 * 10¹⁰ cubic feet of methane is prevented from entering the atmosphere.

How many households can have their total electricity needs provided by these landfills in the United States?

Average yearly household electricity need = 30 kWh * 365.25 days

Average yearly household electricity need = 10957.5 kWh per year

Number of households = total electricity from LFG / average household electricity use per year

Number of households = 15000000000/10957.5

Number of households = 1,368,925 households

Therefore, the number of households that can have their total electricity needs provided by these landfills is 1,368,925 households.

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Related Questions

Find the possible values for m<1​

Answers

Answer:

0, -1,-2

Explanation:

because M has to be less then 1

hope this helps dont 4get to like and star

-mercury

What is El Nino and what does it cause world wide?

Answers

El Nino means to Little Boy in Spanish. South American fishermen were aware of long periods of unusually warm Pacific Ocean water in the 1600s.

Our weather is significantly impacted by El Nino. The warmer waters cause the Pacific jet stream to diverge south of its normal position. As a result of this trend, the northern U.S. and Canada are experiencing drier and warmer weather than usual. However, the Southeast and Gulf Coast regions of the United States are seeing greater flooding at this moment due to the unusually rainy weather.

Additionally, marine animals along the Pacific Ocean are significantly impacted by El Nino. In normal conditions, upwelling brings cold, nutrient-rich water from the bottom to the surface. El Nino reduces upwelling or causes it to stop totally. When the nutrients from the deep are gone, the phytoplankton off the beach decreases. El Nino causes a decline in the trade winds. Warm water rushes from the east to the west coast of the Americas.

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When sedimentary layers overlie igneous or metamorphic rocks, a ____ exists between the two rock bodies.

Answers

When sedimentary layers overlie igneous or metamorphic rocks, an unconformity exists between the two rock bodies.

Sedimentary layers are horizontal layers of sediment that are deposited over time and eventually lithified into sedimentary rock. They are formed through various geological processes, such as erosion, transportation, deposition, and compaction.

Sedimentary layers are composed of sediment particles, which can include minerals, fragments of rocks, organic material, or chemical precipitates.

These layers often provide a record of past environments, as they can contain fossils, evidence of ancient climates, and depositional conditions.

By studying the characteristics of sedimentary layers, geologists can gain insights into Earth's history, including past geological events, changes in sea levels, and the evolution of life forms.

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By the 1800s, China had become 4. because of internal problems.

Answers

In the 1800s, China had a lot of internal problems that led to it becoming weak.

China in the 1800sHad an army that needed to be modernized. Faced rebellions. Had a corrupt government.

All these led to the Chinese being quite weak in the 1800s and allowed the Europeans, Americans, and Russians to take advantage and impose concessions on them.

In conclusion, they were weak.

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Differentiate between Sahara desert and Ladakh desert please explain briefly ​

Answers

Sahara desert and Ladakh desert are two different deserts located in different parts of the world, with different characteristics and features. Here are some differences between the two:

Location: The Sahara desert is located in North Africa, covering a vast area of 3.6 million square miles across several countries like Morocco, Algeria, Tunisia, Libya, Egypt, Mauritania, Mali, Niger, Chad, and Sudan. On the other hand, the Ladakh desert is located in the northernmost region of India, specifically in the state of Jammu and Kashmir.
Climate: The Sahara desert is one of the hottest and driest regions in the world, with very little rainfall and temperatures that can reach up to 131°F. The Ladakh desert, on the other hand, has a cold desert climate, with very little rainfall, and temperatures that can drop as low as -4°F in winter.
Landscape: The Sahara desert is known for its vast expanse of sand dunes, rocky plateaus, and barren plains, with a few oases scattered throughout. The Ladakh desert, on the other hand, is a high-altitude desert, with barren mountainous terrain, rugged valleys, and occasional small streams.
Flora and fauna: The Sahara desert is home to a variety of unique flora and fauna, including species like the camel, scorpion, and fennec fox. The Ladakh desert, on the other hand, has a more limited range of flora and fauna due to its extreme climate, but still has some unique species like the Himalayan marmot and the snow leopard.
Human habitation: The Sahara desert has been home to several ancient civilizations and cultures, with nomadic tribes and towns scattered throughout. The Ladakh desert, on the other hand, has a much smaller population, with only a few small towns and villages located in the region.
In summary, while both the Sahara desert and Ladakh desert are deserts, they differ in terms of their location, climate, landscape, flora and fauna, and human habitation. The Sahara is a hot desert in Africa with sand dunes, rocky plateaus, and oases, while Ladakh is a cold desert in India with barren mountainous terrain, rugged valleys, and occasional streams.

It is Saturday. You and your spouse have 500 dollars total in the budget for today. You all are taking two kids out for a fun day. What do you do with this money?

Answers

Answer:

I would take them to the zoo

Explanation:

I am a good mother lol

Which line of longitude is at Colorado's eastern border?​

Answers

The  line of longitude is at Colorado's eastern border is

Longitude: 102°02′48″W to 109°02′48″W

What is Colorado's eastern border longitude:

Generally, The form of the state of Colorado is similar to that of a rectangle. The limits are defined by lines of latitude and longitude.

The four compass points are 37 degrees north, 41 degrees north, 102 degrees west, and 109 degrees west.

(The east and west boundaries are located at 25 degrees West and 32 degrees West, respectively, from the Washington Meridian.)

In conclusion, The line of longitude that runs along the state's eastern boundary may be found here.

Longitude: 102°02′48″W to 109°02′48″W

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Type the correct answer in the box. Spell all words correctly.
2 lines. The first line runs rightward through points A, E, and B. The second line runs upward to the right through points D, E, and C. An acute angle is formed at E.
Point
is the vertex of the angle marked in the figure.

Answers

Answer:

Point E is the vertex of the angle marked in the figure.

Explanation:

Type the correct answer in the box. Spell all words correctly.2 lines. The first line runs rightward

Answer:

Point “E” is the vertex of the angle marked in the figure

Explanation:

Correct on edmentum, make sure to capitalize E, not e

which of the following would be true if something was at absolute zero?
Choices are:
A. The molecules that make up a sample wouldn't be moving.
B. The molecules that make up a sample would be moving very slowly
C. The molecules that make up a sample would be moving really fast

Answers

The answer is “A”
At absolute 0, atoms would stop moving

If something was at absolute zero, then the molecules that make up a sample wouldn't be moving.

What is Absolute zero?

Absolute zero is defined as the point at which no further heat can be withdrawn from a system. This is equivalent to 0 K or -273.15 °C.

This is -459.67 °F and 0 on the Rankine scale. The molecules that make up a sample would not be moving if it was at absolute zero.

Therefore, option A is correct.

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The world's urbanization rate is currently percent.
A. 54
B. 49
C. 35
D. 23​

Answers

Answer:

A. 54%

Explanation:

Answer:

A - The worlds urbanization rate currently is around 54%-56%

In a large city, a scientist noticed that there were very few trees, plants, or shrubs. She also noticed that there was a high amount of respiratory problems in the city. After meeting with multiple city planners and council members, the scientist asked for a grant to plant trees, plants, and shrubs around the city.

Answers

Answer:

The lack of trees and shrubs leads to desertification and air pollution.

Explanation:

The shrubs, trees and other plants produce oxygen and that is essential for life on earth, without clear and clean atmosphere there will be respiratory problems and other diseases. In order to reduce and eliminate the effects of diseases the city needs to develop green belts and shelter belts that stop the dust and purifies the air around the city.

the advantages of a Mercator
Map? I’m

Answers

Answer:

It shows correct shapes of continents and the directions properly

Explanation:

It was made for sailors,so it needs to be precise for the shape and directions.

What two species of herring are found in the Chowan River?

Answers

The two species of herring are found in the Chowan River are Atlantic herring and American shad.

The Atlantic herring (Clupea harengus) and American shad (Alosa sapidissima) are two of the many herring species that can be found in North Carolina waterways.

Both of these species are anadromous, which means they reside in the ocean for the majority of their lives before moving into freshwater rivers to spawn.

American shad, which once supported a sizable commercial fishery in the region, have a substantial spawning habitat in the Chowan River.

Herring may have been taken accidentally while shad fishing or intentionally in the past, as they are a significant feeder fish for many other species.

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The bottoms of _______ clouds typically form at altitudes below 2,000 meters.
Dark, low-hanging clouds that tend to block out the sun and may produce precipitation are called _______ clouds.
_______ clouds often resemble white, wavy bands or ripples or create patterns of patchy, cottony clouds.
A "thunderhead" is another name for a/an _______ cloud.
Chunks of ice that form as raindrops and are repeatedly dropped and lifted by strong updrafts are known as _______.
Explain the different types of precipitation that are found in low clouds, middle clouds, and high clouds.

Answers

Answer:

1. Stratus

2. Nimbostratus clouds

3.Cumulus

4.Hail

The orange parts of the map below represent areas in which hurricanes frequently form. The white arrows show the typical Paths of hurricanes why are hurricanes so frequently. In areas close to the equator?

Answers

Hello. You forgot to enter the answer options. The options are:

A. There is less landmass near the Equator.

B. The winds blow in opposite directions above and below the Equator.

C. The ocean water can evaporate more quickly near the Equator.

D. There is more wind near the Equator.

Answer:

C. The ocean water can evaporate more quickly near the Equator.

Explanation:

For hurricanes to form, some specific atmospheric conditions are needed. Among these conditions one of the most important is hot and humid air. Esssa is a common condition in areas close to the equator because of the rapid evaporation of ocean water in this region, which, as already mentioned, facilitates the formation of hurricanes. This hot air is able to rise creating a low pressure area that begins to interact with other atmospheric elements creating a system of winds that begin to move in a circular direction, created by the evaporation of water, creating the hurricane.

Check all the continents below that experienced an increase in average annual temperature.

Europe?

Africa?

North America?

South America?

Antartica?

Australia?

Asia?

Check all the continents below that experienced an increase in average annual temperature.Europe?Africa?North

Answers

Answer:

All of them, for sure

Explanation:

The earth's surface is constantly warming, as the earth's latest temperatures are about 2,000 degrees Fahrenheit [2,000 km] or more.

What do you mean by global temperature?

The global temperature record shows the fluctuations in the atmospheric temperature of oceans and seas at different times of the year.

There is a rise in average annual temperature in all parts of the world.

The average global temperature has risen by an average of 0.17 ° F over a decade since 1901 (see Figure 2), which is similar to the temperature within the 48 combined regions. However, since the late 1970's, the United States has warmed up to a faster rate than the rest of the world.

Hence, there is a rise in average annual temperature in all the continents provided.

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1. How loud is the thunder (measured in dB ) for person \#1? 2. If person \#2 hears a rumble of thunder at 40 dB, how far is this person from the lightning strike and how far are they from person #1 ? 3. A low rumble of thunder produces sound waves that have a frequency of 100 Hz. The lowest possible volume at which the human ear can hear 100 Hz sound waves is 35 dB. Person \#3 is the farthest possible distance from the lightning strike where thunder can still be heard. How far from the strike is person \#3? 4. How many seconds did it take for the sound of thunder to reach person \#1? The speed of sound is 340 m/s.

Answers

1. To determine the loudness of thunder for person #1, we would need more information about their distance from the lightning strike and the intensity of the lightning itself.


2. Assuming person #2 hears thunder at 40 dB, we can use the inverse square law to estimate their distance from the lightning strike. However, we still need the reference dB level of thunder at a known distance to calculate the exact distance. Once we have person #2's distance from the lightning strike, we would need the distance between person #1 and the strike to determine the distance between person #1 and person #2.
3. If the human ear can hear 100 Hz sound waves at a minimum volume of 35 dB, we can again use the inverse square law to estimate the farthest distance for person #3 from the lightning strike, but we would still need the reference dB level of thunder at a known distance to make this calculation.
4. To calculate the time it takes for thunder to reach person #1, we need the distance between person #1 and the lightning strike. Once we have that distance, we can use the speed of sound (340 m/s) to determine the time it takes for the sound to travel to person #1. The formula would be Time = Distance / Speed of Sound.

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half of the total mass of earth's atmosphere lies below an elevation of ________ meters.

Answers

Half of the total mass of earth's atmosphere lies below an elevation of 5 kilometers (3.1 miles).

This is the typical elevation of the troposphere, which is the lowest layer of our atmosphere. The troposphere is the layer of the atmosphere closest to the ground and it extends up to 11 kilometers (6.8 miles) high in the tropics and 17 kilometers (10.5 miles) high at the poles. In the troposphere, the air pressure and temperature decrease with altitude.

This layer is responsible for most of the weather we experience on a daily basis. It is the layer where clouds and precipitation form, and it is also home to most of the air pollution created by human activities. The other half of the atmosphere, above the troposphere, is known as the stratosphere. This layer of the atmosphere is much higher and much colder than the troposphere, and it is where most of the earth's ozone is contained.

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What are Earth's natural defenses against solar storms?

Answers

Even though there may be a small amount of particulate radiation that reaches the Earth's surface, the magnetosphere and Earth's atmosphere continue to shield our planet from cosmic rays and charged solar particles.

Plasma, mostly electrons, and protons, which are highly charged particles, make up the magnetosphere. Differing parts of the magnetosphere have different concentrations of these charged particles.

Most of the solar material that is being swept towards us at 1 million mph or more by our star is deflected by it. The unrelenting activity of these solar particles, which screen humans from the Sun's UV radiation, might deplete the Earth of its protective layers if the magnetosphere weren't present.

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hy does canada experience much larger differences in temperature from january to july than does brazil?

Answers

The reason why Canada experiences much larger differences in temperature from January to July than Brazil is because of their location on the globe and the varying weather patterns.

The differences in temperature of Canada and Brazil from January to July are caused by the difference in location and their unique weather patterns. Canada is located at a higher latitude than Brazil, and this has a significant impact on its temperature range. Brazil, on the other hand, is located near the equator and experiences less variation in temperature throughout the year.

Canada is known for its cold, harsh winters, which cause the country's average temperature to drop dramatically during the winter months. During the winter months in Canada, temperatures can range from 5°C to -20°C depending on the location. Canada, however, has mild summers, with temperatures averaging 20°C in most areas.

Brazil, on the other hand, has a tropical climate, which means the country experiences warm weather year-round. During the winter months, Brazil's average temperature ranges from 20°C to 28°C, while during the summer months, it ranges from 28°C to 35°C. The temperature difference between January and July in Brazil is less than 10 degrees Celsius, which is much lower than the temperature difference in Canada during the same period.

In conclusion, the primary reason why Canada experiences much larger differences in temperature from January to July than Brazil is due to its location on the globe and its varying weather patterns.

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as the depth inside Earth increases,
how do pressure and temperature change?​

Answers

Answer:

As depth inside the earth increases, the pressure and temperature increase. Some layers in the earth are harder or softer than adjacent layers, even though they have the same composition, because they are at different pressures and temperatures.Explanation:

What standards can local and national governments establish to improve the environment? Check all that apply.

building codes
laws for recycling
auto-efficiency standards
tax credits for toxic dumping
tax deductions for high energy usage
tax credits for alternative sources of energy

Answers

Answer:

laws for recycling

tax credits for toxic dumping

tax credits for alternative sources of energy

Explanation:

I took the test

Answer:

A, B, C, and F

Explanation:

Building codes, laws for recycling, auto-efficiency standards, and tax credits for alternative sources of energy.

Edge 2020

Areas that contain distinctive species that are adapted to the particular combination of annual temperature and precipitation in those areas are known as

Answers

Answer:

Biomes

Explanation:

A biome is a set of plants and animals that make up a region and are fully adapted to geographic, climatic, chemical, physical and biological conditions and their changes over time. In a simplified way, the biome can be defined as areas that contain distinct species that are adapted to the particular combination of annual temperature and precipitation.

Biomes are extremely important for the balance of the world we live in, not only because of the resources they provide, but because of the variety of living beings and the influence of the interaction between them in our world. This importance justifies the need to preserve these places and create programs to protect them.

what do you think will happen to the red shaded area if the temperature is increased?

Answers

In the red shaded area if the temperature is increased then the temperature is lower the paler the color by providing shade and reducing air and surface temperatures through evapotranspiration, trees.

At the highest end of the scale, where temperatures are closer to 1,000°C, a more vivid-red that is more orange in color, will be reached. The temperature of orange flames is in the 1100–1200°C range. White flames reach temperatures between 1300°C and 1500°C, which are hotter.

For instance, the peak temperatures of materials that are not shaded may be 20–45°F (11–25°C) colder than those of shaded surfaces. The loss of sea ice, melting of glaciers and ice sheets, rise in sea level, and more extreme heat waves are already occurring as a result of the effects experts predicted. According to scientists, greenhouse gases produced by humans will continue to raise the global temperature. The effects of the severe weather will also worsen and increase.

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Which of the following statements is true, based on the data in the chart above?
A.
Niger has twice as many births as deaths per 1,000 people, but the life expectancy is only 52.6, resulting in a young median age.
B.
Niger’s life expectancy is only 52.6 years; therefore, the country must have a young median age.
C.
Niger has more deaths than births per 1,000 people, resulting in a young median age.
D.
Only 16% of Niger’s population lives in urban areas, limiting access to quality healthcare.

Answers

D because Niger is one of the poorest countries in Africa and This statistic shows the degree of urbanization in Niger from 2009 to 2019. Urbanization means the share of urban population in the total population of a country. In 2019, 16.52 percent of Niger's total population lived in urban areas and cities

A, is correct, for I have taken the test. Good luck to you young fellows.

Which two island nations are included in the east Asia region A. Mongolia b. Taiwan c. South Korea d. Japan 

Answers

East Asia has two island countries, Taiwan and Japan, which include five main islands and thousands of smaller ones.

What is East Asia renowned for?

According to both geographical and ethnocultural definitions, East Asia is the eastern portion of the continent of Asia. East Asia today consists of China, Japan, Mongolia, North Korea, South Korea, and Taiwan. One of the earliest known civilization cradles is said to be East Asia, particularly Chinese culture. The Japanese, Korean, and Mongolian civilizations are a few other historical East Asian civilizations that are still recognized as independent nations today.

China is the largest nation in East Asia in terms of both area and people. Mongolia, North Korea, South Korea, and Japan are more nations in East Asia. Mainland China is linked to Hong Kong, Macau, and Taiwan. The Han are the dominant ethnic group in East Asia (Chinese), Yamoto (Japanese), and Korean.

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Whats sphere 1 moon or earth

Answers

Answer:

earth

Explanation:

yes

Which type of plate boundaries generate the most volcanoes? Why?

Answers

Answer:

constructive plate boundaries cause volcanoes.

Explanation:

Compute the distance to the following stars using the luminosity-distance relationship:
m−M=5log(d)−5
Name: XZ Cyg
App. Mag. (m): 10.16
Abs. Mag. (M): 0.75

A) 766.27
B) 763.18
C) 765.32
D) 762.08

Answers

The answer is option B. the distance to the star XZ Cyg is approximately 763.18 light-years.

To compute the distance to the star XZ Cyg using the luminosity-distance relationship, we can rearrange the equation m - M = 5 * log(d) - 5 to solve for d. Here, m is the apparent magnitude, M is the absolute magnitude, and d is the distance to the star.

Let's substitute the given values into the equation:

m = 10.16

M = 0.75

10.16 - 0.75 = 5 * log(d) - 5

9.41 = 5 * log(d) - 5

Adding 5 to both sides gives:

9.41 + 5 = 5 * log(d)

14.41 = 5 * log(d)

Dividing both sides by 5:

log(d) = 2.882

Now, we can raise both sides to the power of 10 to eliminate the logarithm:

d = \(10^2^.^8^8^2\)

Calculating the above expression gives:

d ≈ 763.18

Therefore, the distance to the star XZ Cyg is approximately 763.18 light-years. The answer is option B.

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What point on Earth's surface is directly above the focus?
A.epicenter
B.fault
C.focus
D.Magnitude​

Answers

The Answer is A epicentre done
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Which of the following statements about climate velocities is true? a.Mountainous areas and flatter regions that are located at the same latitude usually have very similar climate velocities b.Trees and other long-lived plants are expected to have difficulty tracking climate change except in places where climate velocities are very low c.Because all species move at the same rate, climate velocity helps researchers identify which entire communities are most likely to track climate change. d.All else being equal, climate velocities are lower in the Arctic, because the Arctic is warming slower than the rest of the planet Blackstone Energy is planning to issue two types of 25 year non callable bonds to raise a total of $6 million. First 3,000 bonds with a 10% annual coupon rate will be sold at their $1,000 par value to raise $3 million. Second, original issue discount (OID) bonds, also with a 25 year maturity and a $1,000 par value, will be sold, but these bonds will have a nominal coupon of only 7.10%, also with annual payments. The OID bonds must be offered at a discount in order to provide investors with the same yield as the par bonds. How many OID bonds must the firm issue to raise the other 3 million ? You may round your answer up or down to a whole number of bonds. [tex](\frac{3p}{7}+\frac{7}{6p})^2 -(\frac{3p}{7}-\frac{7}{6p})^2[/tex]Solve with steps pleasety :) The information in this question refers to the next nine questions.Annie and Bret produce apples and cherries and originally live on their own farms and do not trade with each other. Their opportunity costs of producing each crop are constant.In one year, if Annie completely focuses on growing apples, she has 100 pounds of apples. If Annie completely focuses on growing cherries, she has 50 pounds of cherries.In one year, if Bret completely focuses on growing apples, he has 60 pounds of apples. If Bret completely focuses on growing cherries, he has 60 pounds of cherries.First: who has the absolute advantage in producing apples? Who has the absolute advantage inproducing cherries? Explain why.a. Bret has the absolute advantage in producing cherries and producing apples.b. Annie has the absolute advantage in producing cherries and producing apples.c. Annie has the absolute advantage in producing apples but Bret has the absolute advantage in producing cherries.d. Annie has the absolute advantage in producing cherries but Bret has the absolute advantage in producing apples. What is an argument against the claim that personality Assessment is a vehicle for mindless research? Hii, help me please ( Thank you! heat that the body gains from the sun on a cloudless day would be categorized as Often times the probability distribution of a Random Variable of interest is unknown. In such cases simulation can be a useful tool to estimate the probability distribution. Suppose that X1, X2, X3 are each Poisson(2 = 5) independent random variables. And let Y = maximum(X1, X2, X3). We are interested in the probability distribution of Y. Note: Y is a discrete RV. Randomly generate N = 1000000 values for each of X1, X2, X3. Matlab code: >>N=1000000; >>lambda=5; >>Xl=poissind(lambda, [N,1]); % repeat these steps for X2 and X3. To create vector Y where Y = maximum(X1, X2, X3) we can use: >>Y=max(X1,max(X2,X3)); % Produces vector: Y ) vector: Y = [y] = [max (x1, x2, x36] = = Note that Y is a discrete RV (possible values 0,1,2,3, ...). We estimate Py(y) = P(Y = y) by the proportion of times Y = y. Create a labelled, normalized histogram of Y. "Normalized" for a discrete random variable means to express the column height as proportions (Thus, across all values of Y, the proportions must sum to) For a discrete RV, you must be careful that the number of bins (i.e. columns on your graph) aligns with the integer values in your data set. You want 1 integer in each bin. If these are not aligned, you'll see gaps or weird spikes on your graph. You may have to try a couple until you get something you like. A promising candidate is: >>bins=max(Y)-min(Y)+1; To create the labelled, normalized histogram you can use: >> histogram(Y,bins, 'normalization, probability') >>title('Maximum of 3 Independent Poisson Random Variables ) >>xlabel((Y) >>ylabel('Estimated PMF of Y') Note: To normalize a discrete RV (as in this case) use 'probability'. To normalize a continuous RV (as you did in a previous Homework problem) use pdf". In addition, compute the mean and standard deviation of Y; the commands are: mean(Y) and std(Y) respectively. Note these would be denoted 7 and sy respectively since they are based only on our sample results they are estimates of ly and Oy respectively. For you to hand in: a. labelled, normalized histogram of Y b. mean and standard deviation of vector Y c. Use your histogram results to estimate P(Y >Prob=(sum(Y If {1, 2, 3} x[n]={5, 16, 34, 32, 21}, compute x[n] without using z-transforms What is an example of diction in a sentence?