A. If one male passenger is randomly selected from the airliner, find the probability that he will be able to walk through the door without bending down.  That is, he is shorter than 72 inches.  Be sure to show work as directed below.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A passenger airliner (e.g., Boeing 757) has doors with a height of 72 inches.  Heights of men are normally distributed with a mean of 70.5 inches and a standard deviation of 3.2 inches.  Using this information, answer the questions below.

scenario A. If one male passenger is randomly selected from the airliner, find the probability that he will be able to walk through the door without bending down.  That is, he is shorter than 72 inches.  Be sure to show work as directed below.


scenario B. If there are 25 male passengers on the airliner, find the probability that their mean height is less than 72 inches.  Be sure to show work as directed below.  

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DIRECTIONS for SHOWING WORK:

  • Show all relevant steps
  • Express your final answer a decimal rounded to four decimal places as needed.
  • Write your final answer in a complete sentence in the context of the problem.
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