Use technology or a z-score table to answer the question.

the lengths of green beans for sale at a supermarket are normally distributed with a mean of 11.2 centimeters and a standard deviation of 2.1 centimeters. consider a bag of 150 green beans.

how many green beans will be 13 centimeters or shorter?

121

Step-by-step explanation:

First, we find the z-score for 13 cm:

z = (x - μ) / σ

z = (13 - 11.2) / 2.1

z = 0.86

Next, we use a calculator or a z-score table to find P(x<0.857).

P(x<0.86) = 0.8051

So the number of green beans in a bag of 150 less than or equal to 13 cm is:

0.8051 * 150

121

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