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?
(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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