Answered: Assume a member is selected at random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed.

Pregnancy Length in a Population of New Mothers

281241291Pregnancy length (in days)

μ=268

σ=10

281<x<291

A graph titled "Pregnancy Length in a Population of New Mothers" has a horizontal x-axis labeled "Pregnancy length (in days)" from about 233 to 303 with tick marks at 241, 281, and 291. A normal curve labeled μ = 268 σ = 10 is centered above the x-axis at 268. Two vertical line segments extend from the curve to the x-axis at 281 and 291. The area below the curve and between the two vertical line segments is shaded and labeled 281 < x < 291.

The probability that the member selected at random is from the shaded area of the graph is

enter your response here.

(Round to four decimal places 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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