Problem 1 It is known that (9, .F, P) is a probability space. It is known that and M and N are two events on this probability space. Which of the following objects is a properly defined real number? . (A) M + iP'(N) . (a) 1P(M n N) . (o) 1P({M = 10} u {N = 11}) . (D) 1P(M u {N = 11}) . (E)]E[M] +1P'(N) Show solution Problem 2 The sample space 9 is given by Q = {31, {9;}, {10,31}, {3}, {:1:,y}}}. Which of the following objects is an outcome but not an event? -(A)1P:n>[0,1] . (B)1P:J-'>[0,1] (){:v,y} (D) {{z'},y} (E) {31, {aux/H