Answered: Let x be a random variable that…

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

Let x be a random variable that represents the delivery time (in hours) for packages delivered by
a company. You may assume that x is normally distributed with mean μ = 14 and standard
deviation σ = 2.3.
a. For a package selected at random, what is the probability that it will be delivered in at most
18 hours?
b. For a random sample of 20 packages, what is the probability that the sample mean delivery
time is at least 13.5 hours?

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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