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The pregnancy length in days for a population of new mothers can be approximated by a...

The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 269

days and a standard deviation of 11days.

​(a) What is the minimum pregnancy length that can be in the top 9​% of pregnancy​ lengths?

​(b) What is the maximum pregnancy length that can be in the bottom 4​%of pregnancy​ lengths?

Math   Statistics-And-Probability   
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Answer #1

(a) Let k denotes minimum pregnancy length that can be in the top 9​% of pregnancy​ lengths which is same as 91th perentile

Minimum pregnancy length that can be in the top 9​% of pregnancy​ lengths is 284 days.

(b) Let k denotes the maximum pregnancy length that can be in the bottom 4​%of pregnancy​ lengths.

the maximum pregnancy length that can be in the bottom 4​%of pregnancy​ lengths is 250

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