At an oceanside nuclear power plant,seawater is used as part of the cooling system.This raises the temperature of the water that is discharged back into the ocean.The amount that the water temperature is raised has a uniform distribution over the interval from 10° to 25° C.What is the probability that the temperature increase will be between 20° and 22° C?
A)0.08
B)0.88
C)0.13
D)
0)20

Question

Quizplus · Accepted Answer

Since the temperature increase has a uniform distribution from 10° to 25° C, the probability density function (PDF) is a horizontal line with height 1/15 over that interval. The probability of the temperature increase being between 20° and 22° C is the area under the PDF between those two values. This area is a rectangle with base 2 and height 1/15, so its area is (2)(1/15) = 2/15. Therefore, the probability is 2/15 ≈ 0.1333, which is closest to choice C.

At an Oceanside Nuclear Power Plant,seawater Is Used as Part