2. Suppose that Xn, n >1 are i.i.d. random variables with P(X = -1) = 1/2, P(X = 0) = 1/8, P(X = 1) = 1/4, P(X = 2) = 1/
Posted: Mon Apr 11, 2022 6:21 am
2. Suppose that Xn, n >1 are i.i.d. random variables with P(X = -1) = 1/2, P(X = 0) = 1/8, P(X = 1) = 1/4, P(X = 2) = 1/8. = Let Sn = 2-1 Xi with So = 0. Let T be defined as i= T = min{n: Sn > 10 or Sn < -5}. (a) What are the possible values of ST? (There are more than two choices!) (b) Show that 10 < P(ST = -5) = 11 16 15