Question: 4.15 Assume that two random variables (X, Y ) are uniformly distributed on a circle with radius a. Then the joint probability density function is

4.15 Assume that two random variables (X, Y ) are uniformly distributed on a circle with radius

a. Then the joint probability density function is f(x, y) =

 1

π a2, x2 + y2 ≤ a2 , 0, otherwise.

Find μX , the expected value of X.

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