eviation 8 cm. Find the probability that a randomly selected adult female has a height greater than 170 cm. ) Any adult female whose height is greater than 170 cm is defined as tall. An adult female is chosen at random. Given that she is tall, obtain the probability that she has a height greater than 180 cm.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The height of adult females are normally distributed with mean 160 cm and standard
deviation 8 cm.
(a)
Find the probability that a randomly selected adult female has a height greater
than 170 cm.
(b)
Any adult female whose height is greater than 170 cm is defined as tall. An adult
female is chosen at random. Given that she is tall, obtain the probability that she
has a height greater than 180 cm.
(c)
Half of tall adult females have a height greater than h cm. Calculate the value
of h.
Transcribed Image Text:The height of adult females are normally distributed with mean 160 cm and standard deviation 8 cm. (a) Find the probability that a randomly selected adult female has a height greater than 170 cm. (b) Any adult female whose height is greater than 170 cm is defined as tall. An adult female is chosen at random. Given that she is tall, obtain the probability that she has a height greater than 180 cm. (c) Half of tall adult females have a height greater than h cm. Calculate the value of h.
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