# The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days.a. Find the probability of a pregnancy lasting307days or longer.b. If the length of pregnancy is in the lowest33​%,then the baby is premature.Find the length that separates premature babies from those who are not premature

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The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days.

a. Find the probability of a pregnancy lasting307days or longer.

b. If the length of pregnancy is in the lowest33​%,then the baby is premature.

Find the length that separates premature babies from those who are not premature

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Step 1

From the given information,

Let x be random variable that represents the lengths of pregnancies which follows normal distribution with mean days of 266 and standard deviation of 15 days.

Thus,

Step 2

a)

The probability that the pregnancy lasting 307 days is-

Step 3

b)

Here, it is required to calculate length of premature baby to mature for tha...

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