Answered: 4. One year consumers spent an average…

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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One year consumers spent an average of $24 on a meal at a resturant. Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is $3.

Complete parts (a) through (c) below.

4. One year consumers spent an average of $24 on a meal at a resturant. Assume that the amount spent
on a resturant meal is normally distributed and that the standard deviation is $3. Complete parts (a)
through (c) below.
a. What is the probability that a randomly selected person spent more than $26?
P(X> $26) =
.2514
(Round to four decimal places as needed.)
b. What is the probability that a randomly selected person spent between $16 and $22?
P($16 <X< $22) =
(Round to four decimal places as needed.)
c. Between what two values will the middle 95% of the amounts of cash spent fall?
The middle 95% of the amounts of cash spent will fall between X= $
and
X= $
(Round to the nearest cent as needed.)

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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