Question 4 According to a study done by Pierce College JBLM, the height for Hawaiian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Hawaiian adult male is randomly chosen. Let X = height of the individual. Find the probability that the person is between 63.5 and 68.5 inches. Please explain how you derived this answer

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Question 4

According to a study done by Pierce College JBLM, the height for Hawaiian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Hawaiian adult male is randomly chosen. Let X = height of the individual.

Find the probability that the person is between 63.5 and 68.5 inches. Please explain how you derived this answer

Expert Solution
Step 1

Given that 

μ = 66 , ? = 2.5

X~Normal(μ = 66 , ? = 2.5 )

Find P(63.5<X<68.5)

Formula for Z-score 

Z=(X-μ)/?

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