An airliner carries 100 passengers and has doors with a height of 70 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in.    a. If a male passenger is randomly​ selected, find the probability that he can fit through the doorway without bending.   The probability is_________. ​(Round to four decimal places as​ needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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An airliner carries 100 passengers and has doors with a height of 70 in. Heights of men are normally distributed with a mean of
69.0 in and a standard deviation of 2.8
in. 
 
a. If a male passenger is randomly​ selected, find the probability that he can fit through the doorway without bending.
 
The probability is_________.
​(Round to four decimal places as​ needed.)
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