Hi! I appreciate your help with the result and approach for these questions. Thanks!

Suppose that X is uniformly distributed on the interval [3, 8], and that given X = x, Y is uniformly distributed on the interval [0, x]. That is, the conditional PDF of Y' given X = r is fux (y/z) = =, 0Sysz. Find the PDF fy (y) of Y. It will take the form a ln (b) y Eld, e] fy (y) = aln (c/y) y e [e, f] otherwise. Answer by finding a, b, c, d, e, f, where d