Answered: A survey reports that the spending on…

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

A survey reports that the spending on cosmetic products ordered online follows a normal distribution
with mean $1200 and standard deviation $200.
(a) There are 75% of the online orders of cosmetic products with spending between $(1200 – M) and
$(1200 + M). What is the value of M?
(b) There are 8 online orders received this morning. What is the probability that exactly 6 of the
orders with spending more than $1200?

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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