Question: 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,

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

πa2 , x2 + y2 ≤ a2, 0, otherwise.

Find μX, the expected value of X.

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