Is this binomial or Poisson and what is the probability?

Answers

Answer 1

This problem is solved using a Poisson distribution. This is because we have an average number of events happening in a certain time frame. In this case, that time frame is 1 day.

In this case, the average is mu = 2, which is the number of tools rented per day.

What we need to do is find P(x = 0), P(x = 1) and P(x = 2) which represent the probabilities of renting x = 0, x = 1, and x = 2 tools out respectively. Once we know those three items, we add them up to get P(x <= 2). This is the probability of getting at most 2 requests.

-----------------------

Evaluate the probability when k = 0

P(x = k) = ( mu^k*e^(-mu) )/(k!)

P(x = k) = ( 2^k*e^(-2) )/(k!)

P(x = 0) = ( 2^0*e^(-2) )/(0!)

P(x = 0) = 0.135335

-----------------------

Repeat for k = 1

P(x = k) = ( 2^k*e^(-2) )/(k!)

P(x = 1) = ( 2^1*e^(-2) )/(1!)

P(x = 1) = 0.270671

-----------------------

Repeat for k = 2

P(x = k) = ( 2^k*e^(-2) )/(k!)

P(x = 2) = ( 2^2*e^(-2) )/(2!)

P(x = 2) = 0.270671

We get the same result because (2^1)/(1!) = (2^2)/(2!)

-----------------------

Now add up those three results

P(x <= 2) = P(x = 0) + P(x = 1) + P(x = 2)

P(x <= 2) = 0.135335 + 0.270671 + 0.270671

P(x <= 2) = 0.676677

The probability that the firm can meet demand is roughly 0.676677

Answer: 0.676677

Round this however you need to

Related Questions

A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman

Answers

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

$f(x) = \lambda e^{-\lambda x}$

And the cumulative distribution function (CDF) is,

$CDF = 1 - e^{-\lambda x}$

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

$P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068$

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Should i have a crush in 7 grade being 11

Answers

Answer:

yup

Step-by-step explanation:

Hold on, our servers are swamped. Wait for your answer to fully load.

having a crush is fine anytime just don't count on dating lasting the rest of your life. it could, but don't count on it

One spinner is divided into four equal parts. A second spinner is divided into five equal parts. The grid shows the possible outcomes when each spinner is spun once.
a. How many possible outcomes are there?
b. What is the probability that an outcome contains numbers that are both greater than 3?
c. Find the probability of spinning the same two numbers.

Answers

Spinners are used to illustrate probability distribution function

The number of possible outcomes is 20The probability that the outcomes are greater than 3 is 11/20The probability of spinning the same numbers is 1/5

The number of possible outcomes

This is the sample size of the distribution.

So, the number of possible outcomes is calculated as:

$n = 4 * 5$

Where 4 and 5 are the number of sections in both spinners

This gives

$n = 20$

Hence, the number of possible outcomes is 20

The probability that the outcomes are greater than 3

From the distribution, there are 11 outcomes that have a spin greater than 3.

So, the probability is:

p = 11/20

Hence, the probability that the outcomes are greater than 3 is 11/20

The probability of spinning the same numbers

From the distribution, there are 4 outcomes with the same numbers

So, the probability is:

p = 4/20

Simplify

p = 1/5

Hence, the probability of spinning the same numbers is 1/5

Answers

They filled bags that total 879 and the treats that did not fit are 4

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given here, total treats = 6157, and group them in bags with 7 each

now, we can write 6157 = 879×7+4

thus, on dividing 6157 by 7 we get the remainder as 4 and the quotient as 879

Hence, the bags of treats they filled is 879, and 4 treats were given to the groomer

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.......... do it now? Can't I do it later?

a) I've to
b) Have I
c) Do I have to
d) Should I

Answers

Answer:

Step-by-step explanation:

You are asking a question trying to suggest whether it can be done later

You drop a ball from a height of 1.5 meters. Each curved path has 71% of the height of the previous path.

a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.

b. What height will the ball be at the top of the sixth path?

Answers

a) The rule that represents the height as a function of the number of bounces is described by H(n) = 1.5 · (71 / 100)ˣ⁻¹. (Correct choice: B)

b) The height at the top of the sixth path is equal to 0.27 meters. (Correct choice: B)

How to represent a bounces of a ball by geometric sequence formula

In this problem we need to derive the equation that represents maximum height as a function of the number of bounces:

H(n) = a · (r / 100)ˣ⁻¹

Where:

a - Initial height, in meters.r - Height ratio, in percentage. x - Number of bounces.

If we know that a = 1.5 m and r = 71, then the rule for the sequence is:

H(n) = 1.5 · (71 / 100)ˣ⁻¹

And the height at the top of the sixth path:

H(6) = 1.5 · (71 / 100)⁶⁻¹

H(6) = 0.27 m

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3) A survey was conducted on the newspaper readership of 3 dailies; the Mirror, the Citizen and the Times, Mirror, Citizen, Times respectively and the following data was obtained:
The number of people who read Mirror, Citizen & Times was found to be 55, 45 and 39 respectively. The number that read Mirror & Times = 19. The number that read Citizen & Mirror = 15. The number that read Citizen & Times = 14. Those who read all the 3 were found to be 4 people only. Illustrate the information above on the Venn diagram hence determine the number of people who:
i) Read one of the 3 dailies.
ii) Read Citizen or Times but not the Mirror.
iii) The total number of people interviewed if 15 people read none of the papers.

Answers

i The number of that read only one of the 3 dailies is 55

ii The number that read Citizen or Times but not the Mirror.is 40

iii The total number of people interviewed is 110

The illustration is attached

How to fill the Venn diagram

The information are filled as follows

The number of people who read Mirror, Citizen, and Times: 4 (common region of all three circles).

The number of people who read Mirror and Times:

19 - 4 = 15

The number of people who read Citizen and Mirror:

15 - 4 = 11

The number of people who read Citizen and Times:

14 - 4 = 10

The number of people who read only Mirror:

55 - 15 - 11 - 4 = 25

The number of people who read only Citizen:

45 - 11 - 10 - 4 = 20

The number of people who read only Times:

39 - 15 - 10 - 4 = 10

i) To determine the number of people who read one of the three dailies, we add up the number of people who read only Mirror, only Citizen, and only Times:

25 + 20+ 10 = 55

ii) To determine the number of people who read Citizen or Times but not the Mirror, we add up the number of people who read only Citizen and only Times: and citizen and times

20 + 10 + 10 = 40

iii) The total number of people interviewed can be determined by adding up the numbers in all regions of the Venn diagram, including those who read none of the papers:

= 25 + 11 + 4 + 15 + 20 + 10 + 10 + 15

= 110

Therefore, the total number of people interviewed is 110

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3) A survey was conducted on the newspaper readership of 3 dailies; the Mirror, the Citizen and the Times,

Which ordered pair is a solution to the inequality 3x-4y<12 ?

Answers

The ordered pair (2,-1) is a solution the inequality.

Given the inequality is 3x-4y<12.

An inequality is a statement that compares two quantities and claims that one is greater or less than the other (the equation may also be included). These inequalities are linear if the variables are only linear.

By substituting each of the given option in the given inequality we will check which ordered pair satisfy the inequality.

1. (4,0)

Here x=4 and y=0

Substitute this in the inequality 3x-4y<12, we get

3(4)-4(0)<12

12<12

This is not true

2. (0,-3)

Here x=3 and y=-3

Substitute this in the inequality 3x-4y<12, we get

3(0)-4(-3)<12

12<12

This is not true.

3. (2,-1)

Here x=2 and y=-1

Substitute this in the inequality 3x-4y<12, we get

3(2)-4(-1)<12

6+4<12

10<12

This is true.

4. (4,-3)

Here x=4 and y=-3

Substitute this in the inequality 3x-4y<12, we get

3(4)-4(-3)<12

12+12<12

24<12

This is not true.

Hence, the ordered pair that satisfy the given inequality 3x-4y<12 is (2,-1).

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The half-life of Radium-228 is 5.75 years. What is the annual decay rate? Express the result to four decimal places.
Express the annual decay rate as a percentage to two decimal places.

Answers

The required rate of annual decay rate is given as 11.70%.

Given that,
The half-life of Radium-228 is 5.75 years. What is the annual decay rate is to be determined.

What is the half-life of the element?

The half-life of the element is defined as the time span in which the element grows or decays half of its whole composition of growth and decay.

Here,
According to the question,
$1/2 = (1 - r)^{5.57}\\(1/2)^{1/5.57} = (1 -r)\\r = 0.1170\\r = 11.70%$

Thus, the required rate of annual decay rate is given as 11.70%.

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Denise and Donna want to exchange secrets from across a crowded whispering gallery. Recall that a whispering gallery is a room which, in cross section, is half of an ellipse. If the room is 30 feet high at the center and 90 feet wide at the floor, how far from the outer wall should each of them stand so that they will be positioned at the foci of the ellipse? Fill in the blank: Denise and Donna should each stand _____ ft from the outer wall so that they will be positioned at the foci of the ellipse. Round your answer to the nearest whole ft (no decimal places).

Answers

Answer:

34 feet

Step-by-step explanation:

From the question, we are told that:

If the room is 30 feet high at the center and 90 feet wide at the floor,

Entire width of the room = 90 feet = 2a

a = 90/2 = 45

Height of the room = b = 30 feet

Foci (c)² = a² - b²

c = √a² - b²

c = √45² - 30²

c = √1125

c = 33.541019662 feet

Approximately to the nearest whole number = 34 feet

Denise and Donna should each stand 34 ft from the outer wall so that they will be positioned at the foci of the ellipse

Rewrite each equation without absolute value for the given conditions.
y = |x-3| + |x +2|-|x - 5| if 3

Answers

The equation obtained without the absolute value for given function

y = |x-3| + |x +2|-|x - 5| is y = 2.

Explain about the absolute value?

Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative. Have a look at these samples.

5 is the sum of its absolute values. There are 5 units between 5 and 0.5 is -5's absolute value. There are 5 units between -5 and 0.2 + (-7) equals 5 in absolute terms. The resultant point on a number line is 5 units away from zero when depicting the addition.

The given equation:

y = |x-3| + |x +2|-|x - 5|

For x = 3

y = |3-3| + |3+2|-|3 - 5|

y = 0 + |5| - |-3|

Without absolute values:

y = 5 - 3

y = 2

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The committee spends $462 on costumes for 24 people. Each costume costs the same amount of money.
How much did each costume cost, in dollars?

Answers

Answer:

Step-by-step explanation: 462 Divided by 24 = 19.25$

Proof: 19.25 x 24 = 462

Answer: 19.25$

The answer would be 19.25$!

A boat is 100 miles away from the marina, sailing directly towards it at 10 miles per hour. Write an equation for the distance of the boat from the marina after t hours.

Answers

Answer:

Step-by-step explanation:

The formula for determining distance is expressed as

Distance = speed × time

From the information given,

Speed of boat = 10 miles per hour

It means that the distance that the boat covered after t hours is 10 × t = 10t miles

Since the boat is 100 miles away from the marina and it is sailing directly towards it, then the equation for the distance of the boat from the marina after t hours is

Distance = 100 - 10t

A polygon has a perimeter of 15 units. If the polygon was enlarged with a
zoom factor of 3, what's the bigger polygon's perimeter?

Answers

Answer:

15 ×3 = 45 units

Step-by-step explanation:

if it's larger then multiply by the factor

which is 3

15 × 3

45 units

perimeter is 45 units

A rectangle has an area of 114cm squared and a perimeter of 50cm. What are the dimensions

Answers

If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.

Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².

So, we have:

lw = 114

Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.

So, we have:

2l + 2w = 50

We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:

l = 114/w

We can then substitute this expression for l in the second equation:

2(114/w) + 2w = 50

Multiplying both sides by w to eliminate the fraction, we get:

228 + 2w² = 50w

Rearranging and simplifying, we get a quadratic equation:

2w² - 50w + 228 = 0

We can solve for w using the quadratic formula:

w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5

Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:

l(5) = 114

l ≈ 22.8

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How do I do this and what’s the answer ?

Answers

Answer:

(-$\frac{1}{2}$)^−3

Step-by-step explanation:

=(−1/2)^−3

=1/((−1/2)*(−1/2)*(−1/2))

=8/-1

An engineer created a scale drawing of a building using a scale in witch 0.25 inch represents 2 feet. The length of the actual building is 250 feet. What is the length in inches of the building in the scale drawing?

Answers

Answer:

Step-by-step explanation:

14,762 is what percent of 121

Answers

Answer:

12,200

Step-by-step explanation:

hope this helps!!!

Answer:

12,200%

Step-by-step explanation:

Let p= the percent and translate.

To solve for p, we can now divide each side by 121 and simplify.

14,762 =121p

p=122.0

Since the problem asks us to find percent, we should convert p to a percent. To convert p to a percent, multiply by 100.

p=122.0

=12,200%

It follows that 14,762 is 12,200% of 121.

Simplify (a÷b)³×(b÷c)×(c÷a)³ when a=3,b=a²,c=a³

Answers

Answer:

To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.

Substituting the values of a, b, and c:

a = 3

b = a² = 3² = 9

c = a³ = 3³ = 27

Now let's simplify the expression:

(a÷b)³×(b÷c)×(c÷a)³

(3÷9)³×(9÷27)×(27÷3)³

Simplifying each term:

(3÷9) = 1/3

(9÷27) = 1/3

(27÷3) = 9

Now we can substitute the simplified values back into the expression:

(1/3)³×(1/3)×9

Simplifying further:

(1/27)×(1/3)×9

1/9

Therefore, the simplified expression is 1/9.

What is 35% of $2,195.73

Answers

768.51 dollars should be your answer it is 2195.73 * 0.35

Answer:

768.51

Step-by-step explanation:

To find 35% change the percentage to a decimal (.35)

Then multiply the original amount by .35

2195.73 *.35

768.5055

Since this is money, we round to the nearest cent

768.51

A linear programming problem consists of a linear ____ to be to be maximized or minimized. It is subject to a set of constraints given in the form of linear equations or inequalities.

Answers

A linear programming problem consists of a linear function to be to be maximized or minimized. It is subject to a set of constraints given in the form of linear equations or inequalities.

Linear programming is the programming in which selecting the best possible choice from those available alternatives whose constraint function and the objective function can be referred to as the linear mathematical function.

Linear programming is used for the optimization of linear objective.

It is used as constrained optimization, from where the objective functions and constraints all are linear.

If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables

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Cassie hit a golf ball. The function f models the height of the ball above the ground (in meters) as a
function of time (in seconds) after Cassie hit it.
MARK BRAINLIEST

Answers

Answer:

your answer will be (0,25)

Step-by-step explanation:

have a nice day and good luck with your test ^_^

The point that corresponds to the ball's maximum height on the graph is (4, 80).

How to know if a point lies in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

Cassie hit a golf ball.

The function f models the height of the ball above the ground (in meters) as a function of time (in seconds) after Cassie hit it.

We can see from the graph that the highest point the ball could reach is 80 units.

Therefore, The point that corresponds to the ball's maximum height is (4, 80).

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Two bicycle trails were developed in a new housing development. One trail is
3 1/2 miles long. The other trail is 3/4 as long. How long is the second trail?

Answers

The length of the second trial will be equal to 2(⁵/₈) miles.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that two bicycle trails were developed in a new housing development. One trail is 3¹/₂ miles long. The other trail is 3/4 as long.

The length of the second trial will be calculated as,

Length = 3/4 x ( 3¹/₂ )

Length = 2(⁵/₈)

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Multiple Choice Find AD and ED for parallelogram ABCD.

A) AD = 13
B) ED = 13
C) ED=9
D) ED = 16
E) AD = 9
F) AD = 16

Answers

Answer: A, C

Step-by-step explanation:

Diagonals of a parallelogram bisect each other, so $4x-7=2x+1 \longrightarrow x=4$. So $ED=4(4)-7=\boxed{9}$.

Opposite sides of a parallelogram are congruent, so $8y-3=3y+7 \longrightarrow y=2$, so $AD=8(2)-3=\boxed{13}$

The half life of iron-59 is 44.5 days. How much of
a 50g sample would remain after 178 days?

Answers

Answer:

If the half-life of a nuclide is 44.5 days, then 178 days is four half-lives.

explanation:

After four half-lives, 0.0625 (0.54) of the original nuclides remains. If 50g is the original mass, then the mass after 4 half-lives is 3.125g.

AT = A0 2(-T/H)

A178 = (50) 2(-44.5/178)

A178 = 3.125

ₜₕᵢₛ ₕₐₛ ₙₒ ₚₒᵢₙₜ ₜₒ ᵢₜ

Answers

Answer:

Thanks for the points

Step-by-step explanation:

Marco has two number cubes. The faces of each number cube are numbered from 1 to 6. Marco rolled the number cubes and recorded the number showing on the top face of each number cube. The results are shown in the table.

4, 2 5, 2 3, 1 3, 4 2, 6
1, 1 4, 2 2, 3 3, 3 5, 1
1, 5 5, 2 1, 5 1, 2 1, 5
2, 4 4, 2 2, 4 5, 3 2, 4

Based on these results, what is the experimental probability that the next time the number cubes are rolled, they will land with a 2 showing on the top face of one number cube and a 4 showing on the top face of the other number cube?

A.
3
10

B.
9
20

C.
11
20

D.
1
36

Answers

Using it's concept, it is found that the probability that the next trial will result in a 2 and 4 is given by:

A. $\frac{3}{10}$.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, the number of outcomes are taken from previous trials.

In this problem, the table states that of 20 trials, 6 resulted in either (2,4) or (4,2), hence the probability is given by:

p = 6/20 = 3/10.

Which means that option A is correct.

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During the week of a convention, there were 9,800 occupied hotel rooms and 200 unoccupied hotel rooms in Ashley's city. What percentage of the hotel rooms in the city were occupied during the convention?

Answers

The percentage of the hotel rooms in the city which were occupied during the convention is 98%.

What is percentage?

A percentage is a piece of a whole expressed as a number between 0 to 100. Nothing is said to be zero percent; everything is said to be 100 percent; half of something is said to be 50 percent; and nothing is zero percent.

You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

As given in the question,

Number of hotel room occupied = 9,800

Number of hotel room unoccupied = 200

Total number of the rooms in city = 9800 + 200

Total number of the rooms in city = 10,000

To calculate the percentage we proceeds as follow:

(9800/10000)100 = 98%

Therefore, the percentage is 98%.

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What is the answer pleaseee

Answers

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Need help quick please

Answers

Answer:

line 2

Step-by-step explanation:

on line 2 the two minuses at the end turn into a + (where the -2 is there should be a +2) because - x - = +

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