An airliner carries 100 passengers and has doors with a height of 74 in. Heights of men are normally distributed with mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). ( 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.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Scenario:**

An airliner carries 100 passengers and has doors with a height of 74 inches. Heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. Complete parts (a) through (d).

---

**Question 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.)
Transcribed Image Text:**Scenario:** An airliner carries 100 passengers and has doors with a height of 74 inches. Heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. Complete parts (a) through (d). --- **Question 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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If half of the 100 passengers are​ men, find the probability that the mean height of the 50 men is less than 74 in.

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