Question

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.

Answer 1

The detailed solution is given in the pictures below.

Please go through them carefully specially the notations.

Hope the solution helps. Thank you.

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