Problem 3 Let X,.X, be independent and identically distributed continuous random variables with a positive continuous joint probability density function f(X1. Xg). (a) Suppose that the distribution of...

please include all the steps. i will not accept the answer if steps missed. thank you

Extracted text: Problem 3 Let X,.X, be independent and identically distributed continuous random variables with a positive continuous joint probability density function f(X1. Xg). (a) Suppose that the distribution of X1,....X, is radially symmetric about the origin, which means that the joint probability density function f satisfies f(x.... ) = f(y.... Ya) What are all possible distributions of X,? (You can specify the form of the density function if you like, but make sure that you only specify valid density functions.) Explain your answer. (b) Suppose that the joint probability density function satisfies the relation f(x )= f6 ya) What are all possible distributions of X,? (You can specify the form of the density function if you like, but make sure that you only specify valid density functions.) Explain your answer. whenever i +*+x = y} + + v. %3D ... whenever xil ++ x, = \yal ++ lynl. %3D ...