The time of travel from a person's apartment to the bus station follows a uniform distribution over the interval from 20 to 30 minutes.If he/she leaves home at 9:05 a.m. ,what is the probability that he/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 total time interval for travel from the person's apartment to the bus station is 30 - 20 = 10 minutes.

The probability that the person will arrive at the station between 9:25 and 9:30 a.m. is equal to the ratio of the length of the time interval from 9:25 to 9:30 a.m. (i.e. 5 minutes) to the length of the total time interval (i.e. 10 minutes).

Therefore, the probability is 5/10 = 0.5 or 50%.

So, the best choice is (C).

The Time of Travel from a Person's Apartment to the Bus