SOLUTION: According to the National Health Survey, American men’s heights are normally distributed with the mean πœ‡ = 69.7 inches and the standard deviation 𝜎 = 2.8 inches. Part a.

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Question 1198373: According to the National Health Survey, American men’s heights are normally
distributed with the mean πœ‡ = 69.7 inches and the standard deviation 𝜎 = 2.8 inches.
Part a. A man is randomly selected. Find the probability that his height is more than 72
inches.
Part b. A man is randomly selected. Find the probability that his height is between 68 and 72
inches.
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
According to the National Health Survey, American men’s heights are normally
distributed with the mean πœ‡ = 69.7 inches and the standard deviation 𝜎 = 2.8 inches.
Part a. A man is randomly selected. Find the probability that his height is more than 72
inches.
Part b. A man is randomly selected. Find the probability that his height is between 68 and 72
inches.
~~~~~~~~~~~~~~~~~ 

(a)  Normal distribution is a bell-shaped curve.

     In part (a), they want you determine the area under this specified curve 
     to the right from the raw mark of 72


     P = normalcfd(72, 9999, 69.7, 2.8) = 0.2057   (rounded).    ANSWER



(b)  In part (b), they want you determine the area under this specified curve 
     between the raw marks of 68 and 72


     P = normalcfd(68, 72, 69.7, 2.8) = 0.5224   (rounded).    ANSWER

Solved.

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To get fun of such calculations and better learn the subject, I recommend to use online calculator
https://onlinestatbook.com/2/calculators/normal_dist.html



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