Question

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 00 and 66 minutes. find the probability that a randomly selected passenger has a waiting time greater than greater than 2.252.25 minutes.

Answer 1

You refer to a rectangular distribution.

I.e. Area ∝ probability

so, length x height = area

=> 6 x height = 1

so, height = 1/6

Therefore, greater than 2.25 minutes => 8-2.25 = 5.75 minutes

=> 5.75 x 1/6 = 0.9583

Since this is uniformly distributed, there is no need to find the height or standard deviation.