Maurice Tutor

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    Argosy University/ Phoniex University/
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Category > Management Posted 06 Nov 2017 My Price 6.00

heights of adult males

Suppose the heights of adult males in a population have a normal distribution with mean μ = 70 inches and standard deviation σ = 2.8 inches. Two unrelated men will be randomly sampled. Let X = height of the first man and Y = height of the second man.

a. Consider D = X - Y, the difference between the heights of the two men. What type of distribution will the variable D have?

b. What is the mean value for the distribution of D?

c. Assuming independence between the two men, find the standard deviation of D.

d. Determine the probability that the first man is more than 3 inches taller than the second man. That is, find P(D > 3).

e. Find the probability that one of the men is at least 3 inches taller than the other. That is, find the probability that either D > 3 or D

Answers

Maurice Tutor
(5)
Status NEW Posted 06 Nov 2017 09:11 PM My Price 6.00

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