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tatuchka [14]
3 years ago
10

The length of a human pregnancy is normally distributed with a mean of 272 days with a standard deviation of 9 days (Bhat &

Kushtagi, 2006). How many days would a pregnancy last for the shortest 20%? Round answer to 2 decimal places.
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
8 0

Answer:

Less than 264.44 days would be for the shortest 20%

Step-by-step explanation:

Given that X, the length of a human pregnancy is normally distributed with a mean of 272 days with a standard deviation of 9 days (Bhat & Kushtagi, 2006).

X is N(272, 9)

Corresponding Z score would be for any x

z=\frac{x-272}{9}

We have to find out the shortest 20%

Corresponding z score i.e. z score 20th percentile is given by

-0.84

corresponding x score is

272-0.84*9\\= 264.44

Less than 264.44 days would be for the shortest 20%

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