3.92 State with evidence, whether each of the following statements is true or false:

a. If two events are mutually exclusive, the probability of their union is the sum of their probabilities.

b. The sum of the probabilities of two events cannot be more than 2.

c. The sum of the probabilities of an event and its complement cannot be more than 2.

d. An event and its complement are collectively exhaustive and mutually exclusive.

e. The probability of the intersection of two events is always smaller than the individual probability of each event.