Question

In: Statistics and Probability

Let (X, Y ) has a uniform density in the unit circle, i.e., f(x, y) =...

Let (X, Y ) has a uniform density in the unit circle, i.e., f(x, y) = c, x2 + y 2 ≤ 1, for some constant c > 0.

• (a) Find E[X].

• (b) Find the conditional pdf of X given Y = y.

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