Question

In: Statistics and Probability

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly...

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time greater  than 2.25 minutes.

Solutions

Expert Solution

Let ,

Therefore , the pdf of X is ,

;

= 0 ; otherwise

Now , we want to find the P(X>2.25)


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