(A) Find the probability that a randomly selected U.S. female is taller (B) Take a random sample of 9 U.S. females. Find the probability that the sample mean height of the 9 U.S. females is greater than 65.7 inches. (C) Determine the 90th percentile of the height.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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7.
) The height distribution of U.S. females is approximately normally distributed with a mean of
64 inches and standard deviation of 3 inches.
(A) Find the probability that a randomly selected U.S. female is taller than 65.7 inches.
(B) Take a random sample of 9 U.S. females. Find the probability that the sample mean height of the 9
U.S. females is greater than 65.7 inches.
(C) Determine the 90th percentile of the height.
Transcribed Image Text:7. ) The height distribution of U.S. females is approximately normally distributed with a mean of 64 inches and standard deviation of 3 inches. (A) Find the probability that a randomly selected U.S. female is taller than 65.7 inches. (B) Take a random sample of 9 U.S. females. Find the probability that the sample mean height of the 9 U.S. females is greater than 65.7 inches. (C) Determine the 90th percentile of the height.
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