Answered: Determine the probability that a random…

Math

Statistics

Determine the probability that a random woman in the age range of 18 to 50 has a shoe size between size 7 and 9.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

In the US women between the ages of 18 to 50 have shoe sizes that approximately follow a normal distribution. The approximate mean is shoe size 8.43 and the standard deviation is 1.35. Determine the probability that a random woman in the age range of 18 to 50 has a shoe size between size 7 and 9.

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Expert Solution

Step 1

It is given that

Mean, μ = 8.43

Standard deviation, σ = 1.35

Z-Score, Z = ( X - μ )/σ

Step by step

Solved in 2 steps

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