Question

Delicious Candy markets a two-pound box of assorted chocolates. Because of imperfections 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 more than 32.2 ounces?

Answer 1

20% probability that a box weighs more than 32.2 ounces

Explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X higher than x is given by the following formula.

`P(X > x) = (b-x)/(b-a)`

Uniform distribution ranging from 31 to 32.5 ounces.

This means that
`a = 31, b = 32.5`

What is the probability that a box weighs more than 32.2 ounces?

`P(X > 32.2) = (32.5 - 32.2)/(32.5 - 31) = 0.2`

20% probability that a box weighs more than 32.2 ounces