Question

The weights of 9-ounce bags of a particular brand of potato chips can be modeled by a normal distribution with mean

μ= 9.12 ounces and standard deviation = 0.05 ounce.
What percent of 9-ounce bags of this brand of potato chips weigh between 9 and 9.1 ounces?
Round your answer to 4 decimal places and then convert to a percentage.

Answer 1

33.64%

Explanation:

You want the percent of weights between 9 and 9.1, given their mean is 9.12 and standard deviation is 0.05. (Units are ounces.)

Probability

A suitable probability calculator can tell you the fraction of weights in the given range. The attachment shows it to be ...

P(9 < x < 9.1) ≈ 0.3364 = 33.64%

About 33.64% of the weights are between 9 and 9.1 ounces.

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