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.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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