(b) Suppose that a doorway being constructed is to be used by a class of people whose heights are normally distributed with mean 70 cms. and standard deviation 3 cms. How long may the doorway be without causing more than 25% of the people to bump their heads? If the height of the doorway is fixed at 76 cms., how many

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(b) Suppose that a doorway being constructed is to be used by a class of people
whose heights are normally distributed with mean 70 cms. and standard deviation 3
cms. How long may the doorway be without causing more than 25% of the people
to bump their heads? If the height of the doorway is fixed at 76 cms., how many
persons out of 5000 are expected to bump their heads? (Given ¤(2) = 0.4762).
Transcribed Image Text:(b) Suppose that a doorway being constructed is to be used by a class of people whose heights are normally distributed with mean 70 cms. and standard deviation 3 cms. How long may the doorway be without causing more than 25% of the people to bump their heads? If the height of the doorway is fixed at 76 cms., how many persons out of 5000 are expected to bump their heads? (Given ¤(2) = 0.4762).
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