The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 8 days. About what percentage of births would be expected to occur within 16 days of the mean pregnancy length?

Question

Mathematics

Javier Hess

6 May, 12:47

The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 8 days. About what percentage of births would be expected to occur within 16 days of the mean pregnancy length?

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Israel Rodgers · Answer 1

About 95% of the births would be within 16 days of the mean.

16 days is 2 standard deviations past the mean. The Empirical Rule states that about 95% of the values in a normal distribution fall within 2 standard deviations of the mean.