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?
A)0.1666
B)0.3333
C)0.5000
D)0.6666

Question

Quizplus · Accepted Answer

The total range of possible values for the amount of water dispensed is from 10 to 16 ounces. Therefore, the length of the range is 16 - 10 = 6 ounces. To find the probability that 13 or more ounces will be dispensed, we need to find the portion of the total range that is 13 ounces or greater.

This portion can be found by subtracting the length of the range from 10 to 13 ounces (which is 3 ounces) from the total length of the range (which is 6 ounces):

P(13 or more ounces) = (total length of range - length of range from 10 to 13 ounces) / (total length of range) = (6 - 3)/6 = 0.5

Therefore, the probability that 13 ounces or more will be dispensed in a given glass is 0.5 or 50%, which corresponds to choice C.

A Machine Dispenses Water into a Glass