Probability: This is where the homework 2 is found. I couldn't attach the files for some odd reason. But I ONLY NEED HELP ON PROBLEM # 2, 3, AND 4.
2. Let the sample space be S = {1, 2, 3, 4, 5}. Define Ak = {k} and Bk = {k, k+1, . . . , 5} for k = 1, . . . , 5. Suppose Pr(Ak) = ck for k 2 S. Determine the value of c. Compute Pr(Ak) and Pr(Bk) for k 2 S.
3. Let the sample space be S = {0, 1, 2, . . . }. Define Ak = {k} and Bk = {s 2 S|s k} for k 2 S. Suppose Pr(Ak) = c6k/k! for k 2 S. Determine the value of c. Compute Pr(A0) and Pr(B1).
4. Let the sample space S be the (strictly) positive integers. Let Ak = {k} for k 2 S. Suppose Pr(Ak) = c(1/6)k for k 2 S. Determine c and Pr(A1).