# Binomial & Poisson Probability Distributions

1. Compute the following and show your steps. 3! ÷ (0!*3!)

2. Three members of a club will be selected to serve as officers. The first person selected will be president, the second person will be vice-president and the third will be secretary/treasurer. How many ways can these officers be selected if there are 30 club members?

A) 52360

B) 4060

C) 24,360

D) 90

E) 27000

3. If X = {2, 6, 10, 14} and P(2) = .2, P(6) = .3, P(10) = .4, and P(14) = .1, can distribution of the random variable X be considered a probability distribution?

A) Yes

B) No

4. We have the random variable X = {5, 6} with P(5) = .2 and P(6) = .8. Find E(X)

5. We have a Poisson distribution with mean = 4. Find P(X = 3), P(X < 3), P(X <= 3), P(X > 3), the variance, and standard deviation

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#### Solution Summary

The solution provides step by step method for the calculation of mean, variance and standard deviation of binomial and Poisson probability distributions. Formula for the calculation and Interpretations of the results are also included.