High temperatures in a certain city for the month of August follow a uniform distribution over the interval 64°Fto 92°F. What is the probability that a randomly selected August day has a high temperature that exceeded69°F?
A) 0.8214
B) 0.1786
C) 0.4423
D) 0.0357

Question

Quizplus · Accepted Answer

The range of temperatures is from 64°F to 92°F, which is a span of 28°F. The question asks for the probability of the temperature exceeding 69°F. The difference between 69°F and the minimum temperature of 64°F is 5°F. Therefore, the temperatures that exceed 69°F span from 69°F to 92°F, a range of 23°F. The probability is the favorable range (23°F) over the total range (28°F), which is 23/28 = 0.8214.

High Temperatures in a Certain City for the Month of August