There's a fly in the house! Consider the two-dimensional house in Figure 31.5. Suppose that a fly is found somewhere in the house, with a location that is Uniformly distributed.
a. Find the conditional density of Y given that X = 2.
b. Find the conditional probability that the fly is upstairs, i.e., Y > 10, given that X = 2, i.e., find P(Y > 10 | X = 2).