Question: Let X [cm] and Y [cm] be the diameter of a pin and hole, respectively, suppose that (X, Y) has the density f(x, y) =

Let X [cm] and Y [cm] be the diameter of a pin and hole, respectively, suppose that (X, Y) has the density f(x, y) = 2500 if 0.99 < x < 1.01, 1.00 < y < 1.02 and 0 otherwise.
(a) Find the marginal distributions.
(b) What is the probability that a pin chosen at random will fit a hole whose diameter is 1.00?

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