Abus arrives at a bus stop at a uniformly distributed time over the interval 0 to 1 hour. a passenger also arrives at the bus stop at a uniformly distributed time over the interval 0 to 1 hour. assume that the arrival times of the bus and passenger are independent of one another and that the passenger will wait for up to 1/4 hour for the bus to arrive. what is the probability that the passenger will catch the bus?

0.25 is the probability that the passenger will catch the bus.          

Step-by-step explanation:

We are given the following information in the question:

Let X denote the bus arrival times and Y denote the passenger arrival time.

Here we will evaluate the joint density of X and Y.

Since X and Y are independent events:

Now, we have to evaluate:

0.25 is the probability that the passenger will catch the bus.

7,24

step-by-step explanation: