   Chapter 8, Problem 22RE

Chapter
Section
Textbook Problem

Lengths of human pregnancies are normally distributed with mean 268 days and standard deviation 15 days. What percentage of pregnancies last be tween 250 days and 280 days?

To determine

To find: The percentage of human pregnancies last between 250 days and 280 days.

Explanation

Given information:

Length of human pregnancies is distributed in normal distribution.

The mean value is μ=268days .

The standard deviation is σ=15days .

Calculation:

Find the probability density function for normal distribution as shown below.

f(x)=1σ2πe(xμ)22σ2 (1)

Here, the mean is μ and the standard deviation is σ .

Substitute 268 days for μ and 15 days for σ in Equation (1).

f(x)=1152πe(x268)22×152=137.599e(x2536x+71,824)450

Find the probability that human pregnancies last between 250 days and 280 days [P(250X280)] is shown below

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Convert the expressions in Exercises 8596 radical form. 3.1x4/3117x1/7

Finite Mathematics and Applied Calculus (MindTap Course List)

In problems 27-30, find. 27.

Mathematical Applications for the Management, Life, and Social Sciences

Explain what happens during each of the two stages of the two-factor ANOVA.

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

limx37x+65x12 = ______. a) 12 b) 75 c) 9 d) 4

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

What are the five steps of the scientific method?

Research Methods for the Behavioral Sciences (MindTap Course List) 