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? [hint: let y1 denote the bus arrival time and y2 the passenger arrival time; determine the joint density of y1 and y2 and find p(y2≤y1≤y2+1/4).]