Suppose that the arrival time for the next bus at a bus stop is uniformly distributed between 1 and 25 minutes.The probability that the bus will arrive within the next 5 minutes is 1/6.

Question

Quizplus · Accepted Answer

Since the arrival time is uniformly distributed between 1 and 25 minutes, the probability of the bus arriving within any specific 5-minute interval is equal to the proportion of that interval's length to the total length of the distribution (25-1 = 24 minutes). The length of the 5-minute interval is 5 minutes, so its proportion is 5/24. Therefore, the probability of the bus arriving within the next 5 minutes is 5/24, which simplifies to 1/4. Since 1/4 is not equal to 1/6, option B is false, and the correct answer is A.

Suppose That the Arrival Time for the Next Bus at a Bus