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Crank
3 years ago
14

The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with me

an 266 days and standard deviation 16 days. What percent of pregnancies last between 240 and 270 days (roughly between 8 months and 9 months)?
Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0

Answer:

0.5466

Step-by-step explanation:

Given that the  length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days.

Let X be the length of pregnancies

X is N(266,16)

To find out the probability that pregnancies last between 240 and 270 days (roughly between 8 months and 9 months)

P(240<x<270)

convert each into Z score as z=\frac{x-266}{16}

x=240 means Z = -1.625

x=270 means z=0.25

Required prob

= P(-1.625

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