2.The height of an adult male is known to be normally distributed with a mean of 69 inches and a standard deviation of 2.5 inches. a)What is the probability that a randomly selected adult male has a height between 65 inches and 73 inches? b)What is the probability that a randomly selected adult male is either shorter than 64 inches or taller than 74 inches? c)What is the probability that a randomly selected adult male has a height between 70 inches and 72 inches? d)What is the height of the doorway such that 96 percent of the adult males can pass through it without having to duck their head?

2.The height of an adult male is known to be normally distributed with a mean of 69 inches and a standard deviation of 2.5 inches. a)What is the probability that a randomly selected adult male has a height between 65 inches and 73 inches? b)What is the probability that a randomly selected adult male is either shorter than 64 inches or taller than 74 inches? c)What is the probability that a randomly selected adult male has a height between 70 inches and 72 inches? d)What is the height of the doorway such that 96 percent of the adult males can pass through it without having to duck their head?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

2.The height of an adult male is known to be normally distributed with a mean of 69 inches and a standard deviation of 2.5 inches.

a)What is the probability that a randomly selected adult male has a height between 65 inches and 73 inches?

b)What is the probability that a randomly selected adult male is either shorter than 64 inches or taller than 74 inches?

c)What is the probability that a randomly selected adult male has a height between 70 inches and 72 inches?

d)What is the height of the doorway such that 96 percent of the adult males can pass through it without having to duck their head?

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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