Answered: normally distributed with a mean of 800…

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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Weekly demand at a grocery store for a brand name box of cereal is normally distributed with a mean of 800 boxes and a standard deviation of 75 boxes.
a) What is the probability that weekly demand is…
(1) 959 boxes or less?
(2) More than 1004 boxes?
(3) Less than 650 boxes or greater than 950 boxes?

b) The store orders cereal from a distributor each week. How many boxes should the store order in a week to have only a 2.5% chance of running short during that same period?

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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