Delicious candy markets a two-pound box of assorted chocolates. because of imperfec- tions in the candy making equipment, the actual weight of the chocolate has a uniform distribution ranging from 31 to 32.5 ounces. what is the probability that a box weighs less than 31.8 ounces?

The required probability is 0.533.

Step-by-step explanation:

Consider the provided information.

The actual weight of the chocolate has a uniform distribution ranging from 31 to 32.5 ounces.

Let x is the random variable for the actual weight of chocolate.

According to PDF function.

Where

It is given that ranging from 31 to 32.5 ounces.

Substitute a=31 and b=32.5 in above function.

We need to find the probability that a box weighs less than 31.8 ounces

Now according to PDF:

Hence, the required probability is 0.533.