True or false: Events with probabilty of zero never happen.

True or false: If two events cannot happen simultaneously, they are independent.

True or false: If two events A and B are mutually exclusive, then P(AuB)= P(A) +P(B).

True or false: If f(x) is the density function of a continuous random variable X, then its distribution function is defined as F(x) ∫∞ to x f(t)dt