K 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 lasting 307 days or longer. b. If the length of pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 307 days or longer is. (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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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 lasting 307 days or longer. b. If the length of
pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not premature.
Click to view page 1 of the table. Click to view page 2 of the table.
a. The probability that a pregnancy will last 307 days or longer is.
(Round to four decimal places as needed.)
Transcribed Image Text:K 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 lasting 307 days or longer. b. If the length of pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 307 days or longer is. (Round to four decimal places as needed.)
Expert Solution
Step 1

We have given that

Mean(µ) = 266
Standard deviations (σ) = 15
X ~ N (µ, σ )= N(266,15)

 

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