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 less than 20° C?
A)0.40
B)0.67
C)0.80
D)
1)00

Question

Quizplus · Accepted Answer

Since the temperature increase has a uniform distribution over the interval from 10° to 25° C, the probability of it being less than 20° C is the proportion of the length of the interval from 10° to 20° C to the length of the whole interval 10° to 25° C:

$P(	ext{temperature increase}<20°) = \frac{20-10}{25-10}=\frac{10}{15}=\frac{2}{3}=0.67$

Therefore, the answer is B.

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