Question

The amount of cereal that can be poured into a small bowl varies with a mean of 1.5 ounces and a standard deviation of 0.3 ounce. A large bowl holds a mean of 2.5 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. 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.)

Answer 1

Solution:

ta) he pected amount o+celef fn the box62 - s - 2.5 2. 2 Staad Deviation. 539 mae than 13 Ounces к >13 : 0. 89 Than yu