ask questionSolutionGiven The waiting time is uniformly dist

Solution

Given: The waiting time is uniformly distributed between 0 and 8 minutes. To get the probability that a randomly selected passenger will have a waiting time less than 2.25 minutes, we can find the proportion of 2.25 minutes in the uniformly distributed range of 8 minutes. which is then subtracted from unity i.e.

Let w be the waiting time and w ~ uniform distribution, then

P(w> 2.25) = 1 - P(w<=2.25) = 1 - (2.25/8) = 1 - 0.28125 = 0.719

Result = 0.719