Please help me with this question by providing step-by-step explanations. My answer was 1/p^2(1-p) but it was incorrect. The correct answer for Exp (x) is 1/p(1-p)^2. Thanks!

(limit: Before computing E[N] try to compute E[N.], where N is the time until the same outcome occurs i times. Also note that 1 + m + . . . + m(k-1) _ mk- A coin that comes up heads with probability p is continually flipped until the pattern T, T, H appears. (That is, you stop flipping when the most recent flip lands heads, and the two immediately preceding it lands tails.) Let X denote the number of flips made, and find E[X]. 4. Let X and Y be two ran