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4. 25% of Americans have a college degree (US Sensus Bureau, 2002). Five people are randomly selected. Let the random variable X be the number

4. 25% of Americans have a college degree (US Sensus Bureau, 2002). Five people are randomly selected. Let the random variable X be the number of people who have a college degree.

a. Explain why X is a binomial random variable. Identify n (number of trials) and p (probability of success)

b. What is the probability that exactly 2 people have a college degree?

c. What is the probability that at least 4 people don't have a college degree?

d. Find the mean and standard deviation

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