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 onesmall bowl.a) How much more cereal do you expect to be in thelarge bowl?b) What’s the standard deviation of this difference?c) If the difference follows a Normal model, what’s theprobability the small bowl contains more cereal thanthe large one?d) What are the mean and standard deviation of the totalamount 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 inthe boxes is a random variable with a mean of16.3 ounces and a standard deviation of 0.2 ounces.Find the expected amount of cereal left in the boxand the standard deviation.
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 onesmall bowl.a) How much more cereal do you expect to be in thelarge bowl?b) What’s the standard deviation of this difference?c) If the difference follows a Normal model, what’s theprobability the small bowl contains more cereal thanthe large one?d) What are the mean and standard deviation of the totalamount 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 inthe boxes is a random variable with a mean of16.3 ounces and a standard deviation of 0.2 ounces.Find the expected amount of cereal left in the boxand the standard deviation.
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
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
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?
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
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.
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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