A 2.5-hour movie runs continuously at a local theater. You leave for the theater without first checking the show times. Use an appropriate uniform density function to find the probability that you will arrive at the theater within 4 minutes of the start of the film (before or after). Round to the nearest hundredth.
A) 0.95
B) 0.04
C) 0.03
D) 0.05

Question

Quizplus · Accepted Answer

The total time window for arriving within 4 minutes of the start is 8 minutes (4 minutes before and 4 minutes after). The movie runs continuously, so the uniform distribution is over 150 minutes (2.5 hours). The probability is 8/150 = 0.0533, rounded to 0.05.

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