An experiment has five possible outcomes, A, B, C, D, And E, that are mutually exclusive. Check whether the following assignments of probabilities are permissible And explain your Answers:
(a) P(A) = 0.20, P(B) = 0.20, P(C) = 0.20, P(D) = 0.20, And P(E) = 0.20;
(b) P(A) = 0.21, P(B) = 0.26, P(C) = 0.58, P(D) = 0.01, And P(E) = 0.06;
(c) P(A) = 0.18, P(B) = 0.19, P(C) = 0.20, P(D) = 0.21, And P(E) = 0.22;
(d) P(A) = 0.10, P(B) = 0.30, P(C) = 0.10, P(D) = 0.60, And P(E) = - 0.10;
(e) P(A) = 0.23, P(B) = 0.12, P(C) = 0.05, P(D) = 0.50, And P(E) = 0.08.