The heights of females in a company are normally distributed with mean 160 cm and standard deviation 8cm. (a) Find the probability that a randomly selected female has a height taller than 163cm. (b) Find the probability that a randomly selected female has a height between 155cm and 163cm. (c) 82% of adult female is taller than h cm. Find h.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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The heights of females in a company are normally distributed with mean 160 cm and standard deviation 8cm.
(a) Find the probability that a randomly selected female has a height taller than 163cm.

(b) Find the probability that a randomly selected female has a height between 155cm and 163cm.
(c) 82% of adult female is taller than h cm. Find h. 
Given there are 250 females in the company.
(d) Find the number of females whose height is taller than 163cm.
(e) If three females are to be chosen randomly, find the probability that three of them are taller

Please answer all parts. 

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