High temperatures in a certain city for the month of August follow a uniform distribution over the interval 60°F to 92°F. What is the probability that the high temperature on a day in August exceeds
65°F?
A)0.4276
B)0.0313
C)0.8438
D)0.1562

Question

Quizplus · Accepted Answer

The range of temperatures is from 60°F to 92°F, making the total range 32°F. The question asks for the probability of the temperature being above 65°F. This means we are looking at the range from 65°F to 92°F, which is 27°F. The probability is the favorable range (27°F) over the total range (32°F), which is 27/32 = 0.84375, rounded to 0.8438.

High Temperatures in a Certain City for the Month of August