Consider the following random experiment: A fair coin is tossed once. Here, the sample space has only

Question:

Consider the following random experiment: A fair coin is tossed once. Here, the sample space has only two elements S = {H,T}. We define a sequence of random variables X1, X2, X3, ⋯ on this sample space as follows:Xn (s) = n n+1 (1)n if s = H if s = T

a. For each of the possible outcomes (H or T), determine whether the resulting sequence of real numbers converges or not.

b. FindP {Si  S : lim Xn(si) = 1}

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: