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The lengths of carrots grown at a local farm vary according to a distribution that is approximately normal, with a mean of 7 inches and a standard deviation of 1.5 inches. Approximately what percent of the carrots are less than 4 inches long?

Answer Choices

2.3

5.0

95.0

97.7

 Feb 17, 2016
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The lengths of carrots grown at a local farm vary according to a distribution that is approximately normal, with a mean of 7 inches and a standard deviation of 1.5 inches. Approximately what percent of the carrots are less than 4 inches long?

 

7- 2*1.5 = 4

so 4 inches is 2 standard deviations below the mean.

 

95% of all carrots lie withing 2 SD of the mean SO  5% lie outside that range

SO

Half of thoes will be at the bottom of the carrots sizes.   So 2.5% of the carrots will be smaller than 4 inches long

 

2.3% is the closest answer 

 Feb 17, 2016

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