Question

The number of different mathematics courses at community colleges has a Poisson Distribution with a mean of 20 courses per college.

*show your basic keystrokes and round your answer to 4 decimal places.

- What is the probability there will be exactly 24 courses at a college?
- What is the probability there will be fewer than 38 courses at 2 colleges?

Step 1

**Probability that there will be exactly 24 courses at a college:**

The given information is that the number of different mathematics courses at community colleges has Poisson distribution with mean 20 courses per college.

The probability distribution of a Poisson random variable *X *with mean λ is given by,

Step 2

Let the random variable *X *denote the number of different mathematics courses at community colleges. The n, the probability that there will be exactly 24 courses at a college is as obtained as follows:

Step 3

Thus, the probability that there will be exactly 24 co...

Tagged in

Q: Please answer the attached picture. Thanks,

A: Г(1,Ɵ) represents a gamma distribution X~ Г(α,λ) where α is the shape parameter and λ is the scale p...

Q: 1. A committee of eight people must choose a president, a vice president and a secretary. In how man...

A: Number of ways three positions can be chosen:When there are n items, the number of ways x items can ...

Q: Using 50 random numbers given below, compute the mean and standard deviation 0.299752 0.939920 0.427...

A: Standard deviation of a sample tells how the values are spread out from mean of the sample. A low st...

Q: Given that z is a standard normal random variable, find z for each situation (to 2 decimals) a. The ...

A: a.The area to the left of z is 0.209 can be written as P(Z < z)=0.209.In the z-table for negative...

Q: Douglas is a farmer who believes that his cow produces an average of 7 gallons of milk per day. To t...

A: The aim is to find the range of p-value.

Q: Which is not one of the major assumptions typically associated with parametric tests of significance...

A: Introduction:Some of the major requirements (though not the only requirements and may vary from one ...

Q: The dose-response effect is best described as A. when similar studies produce similar results B...

A: Introduction:The dose-response effect is a measure of the magnitude of the response in the subjects ...

Q: Imagine that the data from the 27 people did not meet the assumptions of correlation and no transfor...

A: It is provided that, the sample size (n) = 27, the Spearman correlation coefficient (rs) = 0.4.To te...

Q: How do I find A’ , Is It B,D and F ?

A: Given U = {a,b,c,d,e,f,g}A = {a,c,e,g}B = {a,b,c,d}A' is nothing but compliment of the set A which h...

Sorry about that. What wasn’t helpful?