Question in print:

Problem 7. Bayesian Inference 2 points possible (graded, results hidden) We are given a biased coin, where the (random) bias ('9 is uniformly distributed on [0, 1]. We toss this coin, until we see Heads for the rst time. Our goal is to estimate ('9 using our obsewation. 1- Find the LMS estimator ms for (*9. Your answer should be a function ofN, the number of tosses up to and including the toss at which Heads were observed. (Make sure to use upper case Nwhen entering your answer.) 2- Find E [63/514143]. Hint. You may nd the following fact useful. 1 a _ b _ alb! A x(1 x) dx_(a+b+l)