MATHEMATICS COLLEGE

A local animal rescue organization receives an average of 0.55 rescue calls per hour. Use the Poisson distribution to find the probability that during a randomly selected hour, the organization will receive fewer than two calls.A) 0.087B) 0.894
C) 0.317
D) 0.106

Answers

Answer 1
Answer:

Answer:

B) 0.894

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

A local animal rescue organization receives an average of 0.55 rescue calls per hour.

This means that \mu = 0.55

Probability that during a randomly selected hour, the organization will receive fewer than two calls.

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

In which

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

P(X = 0) = (e^(-0.55)*(0.55)^(0))/((0)!) = 0.577

P(X = 1) = (e^(-0.55)*(0.55)^(1))/((1)!) = 0.317

P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894

Related Questions

$500 shared in ratio 2:3:9
3/4x = 1/5 .x = Pls help I will give brainliest
An individual size pizza has a diameter of 8 inches. What size does a two person pizza have to be if each person gets the same amount as person with an individual pizza? Leave your answer as a simplified radical
What is the solution to 3/4 a>-16?O a>-21/3 O a<-21 O a> 21-1/ O a <21/13
Sam's class voted on whether or not to do science fair projects in groups. Out of 20 votes, 14 were in favor of working in groups. What percentage of the votes were in favor of working in groups

What’s the answer to this ?

Answers

Answer:

59.44 units²

Step-by-step explanation:

The area of each triangular section can be computed from the side length (5 units) and the central angle (72°) as ...

... section area = (1/2)sin(72°)·5² ≈ 12.5·0.951057 ≈ 11.8882 . . . units²

Then 5 such sections will have an area of ...

... pentagon area = 5·11.8882 units² = 59.4410 units²

_____

Comment on central angle

The central angles total 360°. There are 5 equal sections, so the central angle for each of them is 360°/5 = 72°.

Comment on area formula

It can be occasionally handy to know that the area of a triangle can be computed from the lengths of adjacent sides and the angle between them. The formula for sides of length "a" and "b" and angle β is ...

... A = (1/2)ab·sin(β)

According to a poll, 76% of California adults (385 out of 506 surveyed) feel that education is one of the top issues facing California. We wish to construct a 90% confidence interval for the true proportion of California adults who feel that education is one of the top issues facing California. Find the error bound. (Round your answer to three decimal places.)

Answers

Answer:

The error bound is 3.125%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{(\pi(1-\pi))/(n)}

In which

z is the zscore that has a pvalue of 1 - (\alpha)/(2).

For this problem, we have that:

A sample of 506 California adults.. This means that n = 506.

76% of California adults (385 out of 506 surveyed) feel that education is one of the top issues facing California. This means that \pi = 0.76

We wish to construct a 90% confidence interval

So \alpha = 0.10, z is the value of Z that has a pvalue of 1 - (0.10)/(2) = 0.95, so z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{(\pi(1-\pi))/(n)} = 0.76 - 1.645\sqrt{(0.76*0.24)/(506)} = 0.7288

The upper limit of this interval is:

\pi + z\sqrt{(\pi(1-\pi))/(n)} = 0.76 + 1.645\sqrt{(0.76*0.24)/(506)} = 0.7913

The error bound of the confidence interval is the division by 2 of the subtraction of the upper limit by the lower limit. So:

EBM = (0.7913 - 0.7288)/(2) = 0.03125

The error bound is 3.125%.

If the legs of a right triangle measure 10 meters and
24 meters, how long is the hypotenuse?

Answers

Answer:

26 meters

Step-by-step explanation:

Mrs. Grudman bought a dishwasher at a special sale. The dishwasher regularly sold for$912. No down payment was required. Mrs. Grudman has to pay $160 for the next six
months. What is the average amount she pays in interest each month?

Answers

The average amount she pays in interest each month will be $8.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The dishwasher regularly sold for $912.

No down payment was required.

Mrs. Grudman has to pay $160 for the next six months.

Now,

The total amount pay by Mrs. Grudman = 6 x $160

                                                             = $960

Thus, The average amount she pays in interest each month is;

= (960 - 912) / 6

= $8

Thus, The average amount she pays in interest each month will be $8.

Learn more about the expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

So let's take a look into the question, "Mrs. Grudman bought a dishwasher at a special sale. The dishwasher regularly sold for

$912. No down payment was required. Mrs. Grudman has to pay $160 for the next six months. What is the average amount she pays in interest each month?"

Step-by-step explanation:

So, " Mrs. Grudman has to pay $160 for the next six months" they want us to multiply, $160

              x

                    6

              _______

                  960

So, 960 is your answer. Hope this helps!    

ind the value of the test statistic z using z equals StartFraction ModifyingAbove p with caret minus p Over StartRoot StartFraction pq Over n EndFraction EndRoot EndFractionz= p−p pq n. The claim is that the proportion of peas with yellow pods is equal to 0.25​ (or 25%). The sample statistics from one experiment include 530530 peas with 139139 of them having yellow pods.

Answers

Answer:

z=\frac{0.262 -0.25}{\sqrt{(0.25(1-0.25))/(530)}}=0.638  

Step-by-step explanation:

Data given and notation

n=530 represent the random sample taken

X=139 represent the yellow pods in the random sample

\hat p=(139)/(530)=0.262 estimated proportion of yellow pods

p_o=0.25 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.25 or 25%:  

Null hypothesis:p=0.25  

Alternative hypothesis:p \neq 0.25  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{(p_o (1-p_o))/(n)}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.262 -0.25}{\sqrt{(0.25(1-0.25))/(530)}}=0.638  

Help please............​

Answers

Answer:

  (9x -2)(9x +2)

Step-by-step explanation:

Each of the terms in the difference is a perfect square, so the "perfect square trick" applies. The factors are the sum and difference of the square roots of the given terms.

  • √(81x²) = 9x
  • √4 = 2

  81x² - 4 = (9x +2)(9x -2)
Other Questions
The solution to the system -2x+5y=-15 and 5x+2y=-6 is what
How much wrapping paper would you need to cover a rectangularbox that is 19 inches by 12 inches by 3 inches if you need 10% morewrapping paper than the surface area of the box? Give your answerto the nearest square inch.PLEASE HELP T-T
7 is what percent of 8
your are travling 25mph to the store and 20mph back from the store total time was 9hours how long did you travel at each speed