Question: The joint density function for a pair of random variables X and Y is given. (Round your answers to four decimal places.) f ( x

The joint density function for a pair of random variables X and Y is given. (Round your answers to four decimal places.)

f(x, y) = {Cx(1 + y) ,if 0 x 5, 0 y 6

{0 ,otherwise

a. Find the value of the constant C

b. Find P(X 1, Y 1).

c. Find P(X + Y 1).

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