# A cereal manufacturer is aware that the weight of the product in the box varies slightly from

## Question:

A cereal manufacturer is aware that the weight of the product in the box varies slightly from box to box. In fact, considerable historical data has allowed the determination of the density function that describes the probability structure for the weight (in ounces). In fact, letting X be the random variable weight, in ounces, the density function can be described as(a) Verify that this is a valid density function.(b) Determine the probability that the weight is smaller than 24 ounces.(c) The company desires that the weight exceeding 26 ounces is an extremely rare occurrence. What is the probability that this "rare occurrence" does actuallyoccur?

## Step by Step Answer:

**Related Book For**

## Probability & Statistics For Engineers & Scientists

**ISBN:** 9780130415295

7th Edition

**Authors:** Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying