Q98 of 108 Page 271

State True or False for the statements in the Exercise.
If A and B are two independent events then P(A and B) = P(A).P(B)

TRUE

If A and B are independent events. It implies-

P(A ∩ B) = P(A)P(B)

Thus, from the definition of independent event we say that statement is true.

State True or False for the statements in the Exercise.

If A and B are mutually exclusive events, then they will be independent also.

State True or False for the statements in the Exercise.

Two independent events are always mutually exclusive.

State True or False for the statements in the Exercise.

Another name for the mean of a probability distribution is expected value.

100

State True or False for the statements in the Exercise.

If A and B are independent events, then P(A′ ∪ B) = 1 – P (A) P(B′)

State True or False for the statements in the Exercise.If A and B are two independent events then P(A and B) = P(A).P(B)