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The average length of a human pregnancy is normally distributed, having a mean duration until birth...

The average length of a human pregnancy is normally distributed, having a mean duration until birth (μ) of 266 days and a standard deviation (σ) of 16 days. What percentage of pregnancies will last 290 days or more?

What percentage of pregnancies births will take place 246 days or less?

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Answer #1

The average length of a human pregnancy is normally distributed.

Mean =μ=266

standard deviation (σ) =16

a) What percentage of pregnancies will last 290 days or more?

X>290

Z=1.5

P(Z>1.5) =0.0668 using Z score table

6.68% percentage of pregnancies will last 290 days or more

b)What percentage of pregnancies births will take place 246 days or less?

X<=246

P(Z<= -1.25) =1-1+P(Z>1.25) using z score table

=0.1056

10.56% percentage of pregnancies births will take place 246 days or less

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