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

Question

Mathematics

Magdalena Barnes

23 September, 06:22

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

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Answers (1)

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David Decker · Answer 1

Step-by-step 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.