Discrete Distributions Let X be a binomial random variable with n = 10 and p = 0

Question

Discrete Distributions Let X be a binomial random variable with n = 10 and p = 0.2. Find E(x). Let X be a geometric random variable with p = 0.2. Find E [1/2^X]. During weekday mid-morning hours, phone calls arrive at a motel chain's 800 number reservation center at the rate of 60 per hour. The probability of a call arriving is the same during any two periods of equal length during these hours. The arrival or non-arrival of a call in any time period is independent of the arrival or non-arrival of a call in any other time period of equal length during these hours. What is the probability of at least five calls in a 10-minute period during weekday mid-morning hours?

Explanation / Answer

Question 1:

For the binomial random variable X, is p and N are provided in the problem, the expected value or the mean is calculated using the formula N*p

Since N=10 and p=0.2, The expected value can also be given by 10*0.2=2

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