Answered: The lifetime of a specific species of…

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

The lifetime of a specific species of mammal is normally distributed with mean μ=22 years and standard deviation σ=4 years.

We pick randomly a mammal from the above species. What is the probability the mammal lives:

Less than 28years?
Between 20 years and 28 years?
Exactly 67% of the mammal of this species live at most y What is the value of y?

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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