Question

The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of 69.5 in. and a standard deviation of 2.4 in.

Answer 1

The probability that he can fit through the doorway without bending is 14.92%

How to find the p-value probability?

We are given;

Mean; μ = 69.5

Standard deviation; σ = 2.4

Sample mean; x' = 72

The standardized score is the value x decreased by the mean and then divided by the standard deviation. Thus;

z = (x' − μ)/σ

​z = (72 − 69.5)/2.4

​z = 1.04

Using p-value from z-score calculator gives us;

p-value = 0.1492 = 14.92%

Thus, the probability that he can fit through the doorway without bending is 14.92%

Complete Question is;

The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of 69.5 in. and a standard deviation of 2.4 in. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending.

Read more about P-value from z-scores at; brainly.com/question/25638875

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