Question

In: Statistics and Probability

A manufacturer knows that their items have a normally distributed length, with a mean of 5.7...

A manufacturer knows that their items have a normally distributed length, with a mean of 5.7 inches, and standard deviation of 0.8 inches. If one item is chosen at random, what is the probability that it is less than 7.2 inches long?

Expert Solution

Solution:

Given:

X = Length of items is normally distributed with a mean of 5.7 inches and standard deviation of 0.8 inches.

that is:

Find:

P( X < 7.2 ) =...........?

Find z score for x = 7.2

Look in z table for z = 1.8 and 0.08 and find corresponding area.

P( Z< 1.88 ) = 0.9699

thus

orchestra answered 2 years ago

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