Suppose that the time you spend walking on campus can be modeled by the following random variables (measured in minutes), each of which is independent of the others. Let X ' the time it takes you to walk from Wiley Dining Court to Ross Ade Stadium, and suppose X has a. uniform (10,20) distribution. Let Y be the time it takes to walk from Ross Ar to the Union, and suppose Y has a. uniform (8,22) distribution. Let Z be the time it takes you to cross the stree at the crosswalk from the Union to University Book Store, and suppose Z has an exponential distribution with parameter A = 1. You have been tracking the length of time of your walks from Wiley Dining Court to Ross Ade to the Union to the University Book Store all week, and you hope to beat the mean in every portion of the walk. W'he is the probability that you only beat the mean on the third portion of your walk, P(X > 15,Y > 15, Z