Question

A manufacturer knows that their items have a normally distributed length, with a mean of 18.1 inches, and standard deviation of 3.7 inches. If one item is chosen at random, what is the probability that it is less than 28.9 inches long

Answer 1

Explanation:

z = (X - μ) / σ, where X = date, μ = mean, σ = standard deviation

z = (28.9 - 18.1) / 3.7

z = 18.6

0.06681 is the area for this z.

6.681% shall be shorter than 18.6 inches.