Suppose that in a certain metropolitan area, 9 out of 10 households have cable television. Let x

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Suppose that in a certain metropolitan area, 9 out of 10 households have cable television. Let x denote the number among four randomly selected households that have cable television, so x is a binomial random variable with n 4 and p .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 television.

c. Determine P(x  3).

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