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, the average amount of water dispensed by the machine is:
A)12 ounces.
B)13 ounces.
C)14 ounces.
D)16 ounces.

Question

Quizplus · Accepted Answer

The average (mean) of a continuous uniform distribution is calculated as (a + b) / 2, where a and b are the minimum and maximum values of the distribution, respectively. Here, a = 10 ounces and b = 16 ounces, so the average amount of water dispensed is (10 + 16) / 2 = 26 / 2 = 13 ounces.

A Machine Dispenses Water into a Glass