Acertain fight arrives on time 88 percent of the time. Suppose 186 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 159 fights are on time. (b) at least 159 flights are on time. (c) fewer than 161 flights are on time. (d) between 161 and 174, inclusive are on time. (a) P(159) = (Round to four decimal places as needed.) (b) P(X2 159) - (Round to four decimal places as needed.) (c) P(X< 161) - (Round to four decimal places as needed.) (d) P(161 ≤x≤174)=(Round to four decimal places as needed.)

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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Please help me with the following question.

A certain flight arrives on time 88 percent of the time. Suppose 186 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that
(a) exactly 159 flights are on time.
(b) at least 159 flights are on time..
(c) fewer than 161 flights are on time
(d) between 161 and 174, inclusive are on time.
(a) P(159) = (Round to four decimal places as needed.)
(b) P(X2 159) =
(Round to four decimal places as needed.)
(c) P(X<161) =
(Round to four decimal places as needed.)
(d) P(161 ≤x≤174)=(Round to four decimal places as needed.)
GI
Transcribed Image Text:A certain flight arrives on time 88 percent of the time. Suppose 186 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 159 flights are on time. (b) at least 159 flights are on time.. (c) fewer than 161 flights are on time (d) between 161 and 174, inclusive are on time. (a) P(159) = (Round to four decimal places as needed.) (b) P(X2 159) = (Round to four decimal places as needed.) (c) P(X<161) = (Round to four decimal places as needed.) (d) P(161 ≤x≤174)=(Round to four decimal places as needed.) GI
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