Answered: Cereal The amount of cereal that can be…

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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Cereal The amount of cereal that can be poured into a

small bowl varies with a mean of 1.5 ounces and a stan-
dard deviation of 0.3 ounces. A large bowl holds a mean

of 2.5 ounces with a standard deviation of 0.4 ounces.
You open a new box of cereal and pour one large and one
small bowl.
a) How much more cereal do you expect to be in the
large bowl?
b) What’s the standard deviation of this difference?
c) If the difference follows a Normal model, what’s the
probability the small bowl contains more cereal than
the large one?
d) What are the mean and standard deviation of the total
amount of cereal in the two bowls?

e) If the total follows a Normal model, what’s the prob-
ability you poured out more than 4.5 ounces of cereal

in the two bowls together?
f) The amount of cereal the manufacturer puts in
the boxes is a random variable with a mean of
16.3 ounces and a standard deviation of 0.2 ounces.
Find the expected amount of cereal left in the box
and the standard deviation.

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