Question: Suppose that in a certain metropolitan area, 90% of all households have cable TV. Let x denote the number among four randomly selected households that

Suppose that in a certain metropolitan area, 90% of all households have cable TV. Let x denote the number among four randomly selected households that have cable TV. Then x is a binomial random variable with n = 4 and p = 0.9.
a. Calculate p(2) = P(x = 2), and interpret this probability.
b. Calculate p(4), the probability that all four selected households have cable TV.
c. Determine P(x # 3).

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