Question

# The average height of an adult male in the United States is 70 inches, with a...

The average height of an adult male in the United States is 70 inches, with a
standard deviation of 3 inches. Assume that male heights are Normally distributed.

Approximately what proportion of males are expected to be under 76 inches? To aid your answer, hand-draw to sketch a Normal

curve, and shade in the area under the Normal density curve the question represents. Add dashed lines at the mean +/- 1SD, 2SD and 3SD. Then calculate the proportion asked about in the first sentence. You shouldn't need to use R

to perform any calculations for this question. Report the probability as a number between 0 and 100 rounded to one decimal place.

The detailed solution is given in the pictures below.

Please go through them carefully specially the notations.

Hope the solution helps. Thank you.

(Please do comment if further help is required)

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