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wariber [46]
3 years ago
6

Dr. smith determined that that the average human pregnancy is 266 days from conception to birth. Assume the length of human preg

nancies can be approximated by a normal distribution with a mean of 266 days and standard deviation = 16 days. Find the prob. that a pregnancy will last:__________
Mathematics
1 answer:
kirza4 [7]3 years ago
8 0

Answer:

P(x< 240) = 0.0521

Step-by-step explanation:

Given

\bar x = 266

\sigma = 16

Required

P(x < 240) --- pregnancy will last less than 240 days

First, calculate the z score

z = \frac{x - \bar x}{\sigma}

Where:

x = 240

So, we have:

z = \frac{240 - 266}{16}

z = \frac{-26}{16}

z = -1.625

So:

P(x< 240) = P(z < -1.625)

From z probability:

P(z < -1.625) = 0.052081

P(z < -1.625) = 0.0521 --- approximated

So:

P(x< 240) = 0.0521

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