Answered: Heights of 10 year old children,…

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

Heights of 10 year old children, regardless of sex, closely follow a normal distribution with mean 55.4 inches and standard deviation 5.6 inches. Round answers to 4 decimal places.

a) What is the probability that a randomly chosen 10 year old child is less than 51 inches? Incorrect

b) What is the probability that a randomly chosen 10 year old child is more than 61.2 inches? Correct

c) What proportion of 10 year old children are between 53 and 57.8 inches tall? Correct

d) 75% of all 10 year old child are less than Incorrect inches

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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