A certain flight arrives on time 83 percent of the time. Suppose 175 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that   ​(a) at least 149 flights are on time. ​(b) fewer than 158 flights are on time (c) between 158 and 160​, inclusive are on time.   round final answers to four decimal places

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A certain flight arrives on time 83 percent of the time. Suppose 175
flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that
 
​(a) at least 149 flights are on time.
​(b) fewer than 158 flights are on time
(c) between 158 and 160​, inclusive are on time.
 
round final answers to four decimal places
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