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 SALT. Round your answers to four decimal places.) USE SALT (a) Calculate p(2) = P(x = 2). 0.0338 X Interpret this probability. O the probability that at most two of the four randomly selected households have cable TV O the probability that more than two of the four randomly selected households have cable TV O the probability that at least two of the four randomly selected households have cable TV the probability that exactly two of the four randomly selected households have cable TV O the probability that less than two of the four randomly selected households have cable TV (b) Calculate p(4), the probability that all four selected households have cable TV. 0.8145 (c) Calculate P(x ≤ 3).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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 SALT. Round your answers to four decimal places.)
USE SALT
(a) Calculate p(2) = P(x = 2).
0.0338
X
Interpret this probability.
the probability that at most two of the four randomly selected households have cable TV
the probability that more than two of the four randomly selected households have cable TV
the probability that at least two of the four randomly selected households have cable TV
the probability that exactly two of the four randomly selected households have cable TV
the probability that less than two of the four randomly selected households have cable TV
(b) Calculate p(4), the probability that all four selected households have cable TV.
0.8145
(c) Calculate P(x ≤ 3).
0.9999
X
Transcribed Image Text: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 SALT. Round your answers to four decimal places.) USE SALT (a) Calculate p(2) = P(x = 2). 0.0338 X Interpret this probability. the probability that at most two of the four randomly selected households have cable TV the probability that more than two of the four randomly selected households have cable TV the probability that at least two of the four randomly selected households have cable TV the probability that exactly two of the four randomly selected households have cable TV the probability that less than two of the four randomly selected households have cable TV (b) Calculate p(4), the probability that all four selected households have cable TV. 0.8145 (c) Calculate P(x ≤ 3). 0.9999 X
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