The lengths of pregnancies are normally distributed with a mean of 268 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.

The lengths of pregnancies are normally distributed with a mean of 268 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.

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

The lengths of pregnancies are normally distributed with a mean of

268 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.

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The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 4%, 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. Standard Normal Table (Page 1) a. The probability that a pregnancy will last 309 days or longer is (Round to four decimal places as needed.) NEGATIVE z Scores b. Babies who are born on or before days are considered premature. (Round to the nearest integer as needed.) Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .01 02 .03 .04 .05 .06 .07 .08 .09 -3.50 and lower .0001 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 -3.2 ,0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005…
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 308 days or longer. b. If the length of pregnancy is in the lowest 4%, then the baby is premature. Find the length that separates premature babies from those who are not premature. The probability that a pregnancy will last 308 days or longer is
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