Question

The amount of cereal that can be poured into a small bowl varies with a mean of 1.4 ounces and a standard deviation of 0.3 ounces. A large bowl holds a mean of 2.4 ounces with a standard deviation of 0.4 ounces. A student opens a new box of cereal and pours one large and one small bowl. Suppose that the amount of cereal the manufacturer puts in the boxes is a random variable with a mean of 16.2 ounces and a standard deviation of 0.1 ounce. Complete parts (a) through (c) below. a) Find the expected amount of cereal left in the box. ounce(s) (Type an integer or a decimal.) b) What is the standard deviation? ounce(s) (Round to two decimal places as needed.) c) If the weight of the remaining cereal can be described by a Normal model, what's the probability that the box still contains more than 13 ounces? ___ (Round to three decimal places as needed.)

          The amount of cereal that can be poured into a small bowl varies
with a mean of 1.4 ounces and a standard deviation of 
0.3 ounces. A large bowl holds a mean of  2.4 ounces
with a standard deviation of 0.4 ounces. A student opens
a new box of cereal and pours one large and one small bowl. Suppose
that the amount of cereal the manufacturer puts in the boxes is a
random variable with a mean of 16.2 ounces and a standard
deviation of 0.1 ounce. Complete parts (a) through (c)
below.
a) Find the expected amount of cereal left in the box.
______ ounce(s)
(Type an integer or a decimal.)
b) What is the standard deviation? 
______ ounce(s) 
(Round to two decimal places as needed.)
c) If the weight of the remaining cereal can be described by a
Normal model, what's the probability that the box still
contains more than 13 ounces?
_______
(Round to three decimal places as needed.)

Added by Lori D.

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