Question

n a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 69.5 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below

Answer 1

Find the probability that a study participant has a height that is less than 69 inches.

z = (69 - 69.5)/3 = -0.17

P (z < -0.17) = 0.4338

Find the probability that a study participant has a height that is less than 68 inches.

z = (68 - 69.5)/3 = -0.5

P (z < -0.5) = 0.3085

Find the probability that a study participant has a height that is less than 67 inches.

z = (67 - 69.5)/3 = -0.83

P (z < -0.83) = 0.2023

Find the probability that a study participant has a height that is less than 66 inches.

z = (66 - 69.5)/3 = -1.17

P (z < -1.17) = 0.1217

Find the probability that a study participant has a height that is less than 65 inches.

z = (65 - 69.5)/3 = -1.5

P (z < -1.5) = 0.0668