find the probability

Question

Amtrack's Downeaster train leaves Biddeford, Maine, at 6:42 A.M., Mondays through Fridays. It arrives at Boston at 8:50 A.M. If the train breaks down, find the probability that it breaks down in the last 45 minutes of its run. Assume that the train breaks down at random times. (Enter your answer as a fraction.)

Answer 1

This is an example of a uniform distribution. The total length of time for the run is:

8:50 - 6:42 = 2.o8 hours or 128 minutes. The probability it breaks down in the last 45 minutes is:

45 / 128