The arrival time t of a bus at a bus stop is uniformly distributed between $08 : 00$ A.M. and $08 : 08$ A.M. What is the probability that you will miss the bus if you arrive at the bus stop at $08 : 02$ A.M.? Round your answer to two decimal places.
A)0.25
B)0.67
C)0.36
D)0.33
E)0.57

Question

Quizplus · Accepted Answer

The total time window from $08:00$ A.M. to $08:08$ A.M. is 8 minutes. If you arrive at $08:02$ A.M., you will miss the bus if it arrived in the first 2 minutes (from $08:00$ to $08:02$). The probability of missing the bus is therefore $2/8 = 0.25$.

The Arrival Time T of a Bus at a Bus 08:0008 : 0008:00

The Arrival Time T of a Bus at a Bus $08 : 00$