Answered: The number of chocolate chips in an…

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 number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of
1252
1252 chips and standard deviation
129
129 chips.

(a) What is the probability that a randomly selected bag contains between
1000
1000 and
1500
1500 chocolate chips, inclusive?
(b) What is the probability that a randomly selected bag contains fewer than
1100
1100 chocolate chips?
(c) What proportion of bags contains more than
1225
1225 chocolate chips?
(d) What is the percentile rank of a bag that contains
1475
1475 chocolate chips?

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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