Twenty-five percent of the customers entering a grocery store between 5 P.M. and

Question

Twenty-five percent of the customers entering a grocery store between 5 P.M. and 7 P.M. use an express checkout. Consider five randomly selected customers, and let x denote the number among the five who use the express checkout. (a) What is p(2), that is, P(x = 2)? (Round the answer to five decimal places.) P(2) = 0.26375 (b) What is P(x lessthanorequalto 1)? (Round the answer to five decimal places.) P(x lessthanorequalto 1) = (c) What is P(2 lessthanorequalto x)? (Round the answer to five decimal places.) P(2 lessthanorequalto x) = 099473 (d) What is P(x = 2)? (Round the answer to five decimal places.) P(x = 2) = 0.73625

Explanation / Answer

p = 0.25

n = 5

This is a binomial distribution

B) P(X < 1) = P(X = 0) + P(X = 1)

= 5C0 * 0.250 * 0.755 + 5C1 * 0.251 * 0.754

= 0.63281

C)P(X > 2) = 1 - P(X < 2)

= 1 - P(X < 1)

= 1 - 0.63281

= 0.36719

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