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?

29

89

121

126

Question

Mathematics

Murphy

12 November, 17:00

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?

29

89

121

126

+1

Answers (1)

Know the Answer?

Andres · Answer 1

121 of the green beans will be shorter than 13 centimeters.

First, we need to evaluate the expression below to find the z-score.

(13 - 11.2) / 2.1. = 0.86

The matching percent for this z-score is 0.8051.

Multiplying 0.8051 by 150 gives us about 121 green beans.