If events A and D are mutually exclusive are A and D indepen

If events A and D are mutually exclusive, are A and D independent?(yes or no). Why? If random variables X and Y has the same mean and variance, are the cumulative distribution functions of X and Y the same? (yes or no).

Solution

6) No, this is not condition for independence. For example heads and tails are mutually exclusive outcomes, but P(H | T) = 0 which is not same as P(H) = 0.5

7) No, they need not be same.