Description A pair of random variables (X,Y) are uniformly distributed over the unit circle. That is, the joint PDF is f

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Description A Pair Of Random Variables X Y Are Uniformly Distributed Over The Unit Circle That Is The Joint Pdf Is F 1 (55.87 KiB) Viewed 34 times

Description A pair of random variables (X,Y) are uniformly distributed over the unit circle. That is, the joint PDF is fx.x (x, y) == for x²+y²<1 and fx,y (x, y) = 0 π otherwise. Use MATLAB or to generate a large number of samples of this pair of random variables. Submit the code and the following figures: Figure 1. 2D-histogram of samples (x,y) and the analytical joint pdf; (hint: use MATLAB function 'histogram2') Figure 2. 1D-histogram of samples x and the analytical marginal pdf of X; Figure 3. 1D-histogram of samples x falling in the region -0.01<y<0.01, and the analytical conditional pdf of X given y=0.