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A certain flight arrives on time 90 percent of the time. Suppose 166 flights are randomly...

A certain flight arrives on time 90 percent of the time. Suppose 166 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that ​(a) exactly 146 flights are on time. ​(b) at least 146 flights are on time. ​(c) fewer than 139 flights are on time. ​(d) between 139 and 158​, inclusive are on time.

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