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A certain flight arrives on time 81 percent of the time. Suppose 195 flights are randomly selected. Use the normal approximation to the binomial to

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A certain flight arrives on time 81 percent of the time. Suppose 195 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 166 flights are on time. (b) at least 166 flights are on time. (c) fewer than 144 flights are on time. (d) between 144 and 169, inclusive are on time. = (a) P(166) = I:I (Round to four decimal places as needed.) Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n=64, p=0.4, and X=31 = Forn=64, p=0.4, and X =31, find P(X). P(X) = I:I (Round to four decimal places as needed.)

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