Answered: The sticker on Nestle's crunch bar…

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 sticker on Nestle's crunch bar reads 25 grams. Suppose that the probability distribution of the weight of a crunch bar is known to follow a normal distribution with variance of 2.5 and mean 26 grams. Assume that the weight of one crunch bar that is randomly chosen from Boxer shop is given by Y.

a) Calculate the probability that the weight of a crunch bar selected from the shelf at Boxer will exceed 30 grams.

b) Calculate the proportion of crunch bars on the shelf whose weight will either exceed 40 grams or will not exceed 26 grams.

c) If 12 crunch bars are randomly selected from the shelf at Boxer, calculate the probability that the total weight of the selected crunch bars will not exceed 336 grams.

d) If 5 crunch bars are randomly selected independently from the shelf at Boxer. Suppose the number of crunch bars with a weight not exceeding 24 grams is given by X. Calculate P(X < 3).

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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