Question

Adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall. Approximately what percent of the adult male population is taller than the average basketball player?

0.13%
0.87%
49.87%
99.87%

Answer 1

Given:
average height of a basketball player = 79 inches
μ = 70 inches
σ = 3 inches

standardize x to z = (x - μ) / σ
P(x > 79) = P( z > (79-70) / 3)
= P(z > 3) = 0.0013
0.0013 x 100% = 0.13%


0.13 % of the adult male population is taller than the average basketball player.