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For the following problems indicate true or false. Please justify your answer. You may use examples...

For the following problems indicate true or false. Please justify your answer. You may use examples to illustrate your answers.
a. (2 points) For events A and B for which P(A)>0 and P(B)>0, P(A|B) is always larger than P(A and B).
b. (2 points) If two random variables X and Y are independent, then the coefficient of correlation between them is 0.
c. (2 points) P(A or B) > P(A) + P(B).
d. (2 points) Mean and median of a distribution are equal only when the distribution is symmetric and uni-modal.

Math   Statistics-And-Probability   
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