QUESTION 2 10 points Consider the random variable defined in

QUESTION:

2. (10 points) Consider the random variable defined in problem 2 of HW#6 X, (s)-# of the toss where the first head occurs in 4 tosses of a coin with probability of heads = p. and X\'(s)--if no head occurs. Recall that you computed the expected value of this Ry in HW #7. Problem 2. Let B = {no heads occurred on toss 1 or toss 2. 2.a. (6 points) Carefully compute P[B] and simplify as much as possible (which should be a lot) Then carefally compute Pry(for all values of x. Explain in words why your answers make ain in words why vour answers make sense 2.b. (4 points) Carefully compute a formula for E [X, Bl. Evaluate your formula for P-OP-0 and for p-0.8, then argue that vour results are reasonable in each case

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