Question

Engineers must consider the breadths of male heads when designing motorcycle helmets. Men have head breadths that are normally distributed with a mean of 6.0 inches and a standard deviation of 1.0 inches. If one male is randomly selected, find the probability that his head breadth is less than 6.2 inches.

Answer 1

0.57926

Explanation:

Given that :

Mean, m = 6

Standard deviation, s = 1

P(x < 6.2)

Obtain the Zscore :

Zscore = (x - m) / s

Zscore = (6.2 - 6) / 1

Zscore = 0.2

P(Z < 0.2) = 0.57926 (Z probability calculator)

Probability of having head breadth less than 6.2 is 0.57926