Answered: Suppose the lengths of the pregnancies…

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

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean

μ=103 days

and standard deviation

σ=10 days.

Complete parts (a) through (f) below.

(a) What is the probability that a randomly selected pregnancy lasts less than

100

days?

The probability that a randomly selected pregnancy lasts less than

100

days is approximately

0.38210.3821.

(Round to four decimal places as needed.)

Interpret this probability. Select the correct choice below and fill in the answer box within your choice.

(Round to the nearest integer as needed.)

If 100 pregnant individuals were selected independently from this population, we would expect____pregnancies to last less than100 days.

If 100 pregnant individuals were selected independently from this population, we would expect_____pregnancies to last more than 100 days.

If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 100 days.

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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