The number of potato chips in a bag is normally distributed with a mean of 74 and a standard deviation of 4. Approximately what percent of bags contain between 62 and 86 potato chips?

Question

Aubrie Berg

Mathematics

12 February, 09:49

The number of potato chips in a bag is normally distributed with a mean of 74 and a standard deviation of 4. Approximately what percent of bags contain between 62 and 86 potato chips?

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Answers (1)

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Duncan · Answer 1

Answer: 99.7 % of the bags contain between 62 and 86 potato chips.

Step-by-step explanation:

The standard deviation given is 4.

Find the difference between the given numbers and the mean,

74-62 = 12. 86-74=12

then divide 12 by 4 to find the number of standard deviations: 12/4=3

Check a chart or diagram of the Gaussian Distribution to find that 99.7% of the samples lie within 3 standard deviations from the mean.