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A certain flight arrives on time 89 percent of the time. Suppose 187 flights are randomly...

A certain flight arrives on time 89 percent of the time. Suppose 187 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that

​(a) exactly 169 flights are on time.

​(b) at least 169 flights are on time.

​(c) fewer than 176 flights are on time.

​(d) between 176 and 179 inclusive are on time.

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Answer #1


d) P(176<= X <= 179) = P( 175.5 < X < 179.5)

= P(2.12 < Z < 3.05) = 0.0159

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