Assume that two random variables (X,Y ) are uniformly
Chapter 5, Problem 4.15(choose chapter or problem)
Assume that two random variables (X, Y ) are uniformly distributed on a circle with radius a. Then the joint probability density function is
\(f(x, y)=\left\{\begin{array}{ll} \frac{1}{\pi a^{2}}, & x^{2}+y^{2} \leq a^{2}, \\ 0, & \text { otherwise, } \end{array}\right.\)
Find \(\mu_X\), the expected value of X.
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