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 ounce. A large bowl holds a mean of 2.4 ounces with a standard deviation of 0.4 ounce. A student opens a new box of cereal and pours one large and one small bowl. Assume that the amounts poured into the two bowls are independent. Suppose that the amount of cereal the manufacturer puts in the boxes is a random variable with a mean of 16.4 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)

b.) What is the standard deviation?

___ ounce(s)

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?

____

Answer 1