Suppose that people heights are normally distributed with mean of 170 cm and standard deviation of 6 cm. a) What proportion of people are between 165 cm and 175 cm tall? b) Find the minimum ceiling of an airplane such that at most 5% of people walking down the aisle will have to duck.
Suppose that people heights are normally distributed with mean of 170 cm and standard deviation of 6 cm. a) What proportion of people are between 165 cm and 175 cm tall? b) Find the minimum ceiling of an airplane such that at most 5% of people walking down the aisle will have to duck.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:time, i.e. P(μx-ox ≤ x ≤ μx + 0x).
3. Suppose that people heights are normally distributed with mean of 170 cm and standard
deviation of 6 cm.
a) What proportion of people are between 165 cm and 175 cm tall?
b) Find the minimum ceiling of an airplane such that at most 5% of people walking down the
aisle will have to duck.
E
c) Find the probability that the average height of a random sample of 49 people is greater than
172 cm.
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ard deviation of the expected
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