Answered: The number of shoes owned by all girls…

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

The number of shoes owned by all girls are normally distributed with a mean of 8 shoes and a standard deviation of 4 shoes.

Part A
About % of all girls own more than 20 shoes.
(Rounding the percentage to 2 decimal places if possible. E.g. 12.34%)

Part B
About % of all girls own between 6 shoes and 19 shoes.
(Rounding the percentage to 2 decimal places if possible. E.g. 12.34%)

Part C
About % of all girls own less than 2 shoes.
(Rounding the percentage to 2 decimal places if possible. E.g. 12.34%)

Part D
About middle 40% of all girls own between shoes and shoes.
(Rounding the answers to 3 decimal places if possible.)

Part E
About 21% of all girls own more than shoes.
(Rounding the answer to 3 decimal places if possible)

Part F
About 92% of all girls own less than shoes.
(Rounding the answer to 3 decimal places if possible)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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