Question

A machine dispenses water into a glass. Assuming that the amount of water dispensed follows a continuous uniform distribution from 10 ounces to 16 ounces, what is the probability that 13 or more ounces will be dispensed in a given glass

Answer 1

0.5 = 50% probability that 13 or more ounces will be dispensed in a given glass

Explanation:

The uniform distribution is used when every outcome has the same probability.

It has two extremes, a and b.

If we want to find the probability of a value being higher than x, we use the following formula:

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

Assuming that the amount of water dispensed follows a continuous uniform distribution from 10 ounces to 16 ounces

This means that
`a = 10, b = 16`

What is the probability that 13 or more ounces will be dispensed in a given glass

`P(X > 13) = (16 - 13)/(16 - 10) = 0.5`

0.5 = 50% probability that 13 or more ounces will be dispensed in a given glass