High temperatures in a certain city for the month of August follow a uniform distribution over the interval 78°F to 108°F. Find the temperature which is exceeded by the high temperatures on 90% of
The days in August.
A)108°F
B)105°F
C)88°F
D)81°F

Question

Quizplus · Accepted Answer

In a uniform distribution, the temperature which is exceeded by 90% of the days is found by calculating the 10th percentile. The interval is 78°F to 108°F, so the 10th percentile is 78 + 0.1*(108-78) = 81°F.

High Temperatures in a Certain City for the Month of August