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...

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 = 0.90. (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).