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A USA Today Snapshot reports that among people 35 to 65 years old, nearly two thirds say they are not concerned about being forced into retirement.7 Suppose that we randomly select n = 15 individuals that in this age category and approximate the value of p as p = .7. Let x be the number that say they are not concerned with forced retirement.

a. What is the probability distribution for x?
b. What is P(x = 8)?
c. Find the probability that x exceeds 8?
d. What is the largest value of c for which P(x = c) = .10?

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