The time it takes a woman to travel from her apartment to the bus station follows a uniform distribution over the interval from 20 to 30 minutes.If she leaves home at 9:05 a.m. ,what is the probability that she will get to the station between 9:25 and 9:30 a.m.?
A)1.0
B)0
C)0.5
D)0.25

Question

Quizplus · Accepted Answer

The woman will arrive at the bus station between 9:25 and 9:30 a.m. if she takes between 20 and 25 minutes to get there.

The total time interval from her apartment to the bus station is 30 - 20 = 10 minutes.

Therefore, the probability that she will arrive between 9:25 and 9:30 a.m. is (25 - 20) / 10 = 0.5 or 50%.

Hence, the best choice is C.

The Time It Takes a Woman to Travel from Her