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 proba- bility you poured out more than 4.5 ounces of cereal im 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 ex- pected amount of cereal left in the box and the standard deviation.

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Author:Amos Gilat
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D-f
. 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 proba-
bility 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 ex-
pected amount of cereal left in the box and the
standard deviation.
Transcribed Image Text:. 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 proba- bility 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 ex- pected amount of cereal left in the box and the standard deviation.
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