Math Problem Statement
Question content area top
Part 1
An airliner carries
5050
passengers and has doors with a height of
7878
in. Heights of men are normally distributed with a mean of
69.069.0
in and a standard deviation of
2.82.8
in. Complete parts (a) through (d).
Question content area bottom
Part 1
a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending.
The probability is
enter your response here.
(Round to four decimal places as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Normal Distribution
Z-scores
Formulas
Z = (X - μ) / σ
Cumulative probability from Z-score
Theorems
68-95-99.7 Rule (Empirical Rule)
Suitable Grade Level
Grades 10-12
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