Let � be a random variable that represents the weights in pounds (lb) of adult males who are in their 40s. � has a normal distribution with mean �= 167 lbs and standard deviation �= 6 lbs. An adult male in his 40s that weighs above 170.9 is considered overweight.A) What is the probability that one adult male in his 40s is overweight? (Round your answer to four decimal places.)B) What is the probability that 24 adult males in their 40s have a mean weight over 170.9 lbs? (Round ��¯ to two decimal places and your answer to four decimal places.)C) What is the probability that 36 adult males in their 40s have a mean weight over 170.9 lbs? (Round ��¯ to two decimal places and your answer to four decimal places.) Let X be a random variable that represents the weights in pounds (lb) of adult males who are in their 40s. Xhas a normal distribution with mean μ 167 lbs and standard deviation o = 6 lbs. An adult male in his 40sthat weighs above 170.9 is considered overweight.A) What is the probability that one adult male in his 40s is overweight? (Round your answer to four decimalplaces.)B) What is the probability that 24 adult males in their 40s have a mean weight over 170.9 lbs? (Round 0 totwo decimal places and your answer to four decimal places.)C) What is the probability that 36 adult males in their 40s have a mean weight over 170.9 lbs? (Round 0 totwo decimal places and your answer to four decimal places.)

Answer:- Given, X has a normal distribution with mean μ = 167 lbs and standard deviation σ = 6 lbs.…

Answered: Let � be a random variable that…

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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Let � be a random variable that represents the weights in pounds (lb) of adult males who are in their 40s. � has a normal distribution with mean �= 167 lbs and standard deviation �= 6 lbs. An adult male in his 40s that weighs above 170.9 is considered overweight.

A) What is the probability that one adult male in his 40s is overweight? (Round your answer to four decimal places.)

B) What is the probability that 24 adult males in their 40s have a mean weight over 170.9 lbs? (Round ��¯ to two decimal places and your answer to four decimal places.)

C) What is the probability that 36 adult males in their 40s have a mean weight over 170.9 lbs? (Round ��¯ to two decimal places and your answer to four decimal places.)

Let X be a random variable that represents the weights in pounds (lb) of adult males who are in their 40s. X
has a normal distribution with mean μ 167 lbs and standard deviation o = 6 lbs. An adult male in his 40s
that weighs above 170.9 is considered overweight.
A) What is the probability that one adult male in his 40s is overweight? (Round your answer to four decimal
places.)
B) What is the probability that 24 adult males in their 40s have a mean weight over 170.9 lbs? (Round 0 to
two decimal places and your answer to four decimal places.)
C) What is the probability that 36 adult males in their 40s have a mean weight over 170.9 lbs? (Round 0 to
two decimal places and your answer to four decimal places.)

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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