Answered: The probability that a pregnancy will…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The lengths of pregnancies are normally distributed with a mean of

269

days and a standard deviation of

days.

a. In a letter to an advice column, a wife claimed to have given birth

308

days after a brief visit from her husband, who was working in another country. Find the probability of a pregnancy lasting

308

days or longer. What does the result suggest?

b. If the length of pregnancy is in the lowest

2%,

then the baby is premature. Find the length that separates premature babies from those who are not considered premature.

a. The probability that a pregnancy will last

308

days or longer is

enter your response here.

(Round to four decimal places as needed.)

What does the result suggest?

The result suggests an uncommon but not significant event occurred.

The result suggests that either a very rare event occurred or the husband is not the father.

The result suggests the event did not occur.

The result suggests that the husband is the father.

b. Babies who are born on or before

enter your response here

days are considered premature.

(Round to the nearest integer as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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