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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9.3, Problem 55E

Textbook Problem

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**Medical Science** A medical research team has determined that for a group of 500 females, the length of pregnancy from conception to birth varies according to an approximately normal distribution with a mean of 266 days and a standard deviation of 16 days.

(a) Use a graphing utility to graph the distribution.

(b) Use a symbolic integration utility to approximate the probability that a pregnancy will last from 240 days to 280 days.

(c) Use a symbolic integration utility to approximate the probability that a pregnancy will last more than 280 days.

**(a)**

To determine

**To graph:** The distribution with the help of graphing utility. If in a medical research the team has found that for a group of 500 females the period for pregnancy from conception to birth varies according to the mean of 266 days and standard deviation of 16 days (assume the normal distribution taken place).

**Given information:**

In a medical research the team has found that for a group of 500 females the period for pregnancy from conception to birth varies according to the mean of 266 days and standard deviation of 16 days (assume the normal distribution taken place).

**Graph:**

Consider the provided probability density function,

From the provided information the value of the mean is

Now, substitute the values of mean

**(b)**

To determine

**To calculate:** The approximate probability that the pregnancy of women last from

**(c)**

To determine

**To calculate:** The approximate probability that the pregnancy of women last more than,

Calculus: An Applied Approach (MindTap Course List)

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