MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 67 inches and standard deviation of 3 inches. Use this information to answer the questions.

(a) What is the probability that a randomly selected woman from this university is 70 inches or taller? (Give the answer to two decimal places.)


(b) What is the probability that three randomly selected women from this university are all 70 inches or shorter? (Give the answer to four decimal places.)


(c) What is the probability that of two randomly selected women, one is 70 inches or shorter and the other is 70 inches or taller? (Give the answer to four decimal places.)


(d) What is the probability that three randomly selected women are all 67 inches or taller? (Give the answer to two decimal places.)
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