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Percentile of the distribution of fly balls

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Reference no: EM132171711

1. The patient recovery time from a particular surgical procedure is normally distributed with a mean of 7.4 days and a standard deviation of 3.4 days.

What is the z-score for a patient who takes 14 days to recover? (Round your answer to two decimal places.)

z =

2. Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 220 feet and a standard deviation of 44 feet. Let X = distance in feet for a fly ball.

A. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 180 feet? (Round your answer to four decimal places.)

B. Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place.)

___ft

C. Write the probability statement. (Let k represent the score that corresponds to the 80th percentile.)

P(X < k) =

Reference no: EM132171711

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