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

Mid Term due Jul 20, 2021 18:59 CDT Problem 4(a) 2 points possible (graded, results hidden) A random variable X is generated as follows. We flip a coin. With probability p, the result is Heads, and then X is generated according to a PDF fx # which is uniform on [0, 1]. With probability 1 - p the result is Tails, and then X is generated according to a PDF fx|r of the form fxr (x) = 2x, if x E [0, 1] . (The PDF is zero everywhere else.) 1. What is the (unconditional) PDF fx (x) of X? For 0