Question

Suppose that in a certain metropolitan area, 95% of all households have cable TV. Let x...

Suppose that in a certain metropolitan area, 95% 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 = 0.95.

(Use technology. Round your answers to four decimal places.)

(a)

Calculate

p(3) = P(x = 3).

(b)

Calculate

p(4),

the probability that all four selected households have cable TV.

(c)

Calculate

P(x ≤ 3).

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