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A fair coin is tossed three times, and the random variable X is the number of heads in the first two tosses and the random variable Y is the number of heads in the last two tosses.1.What is the joint and marginal probability mass function of X and Y?2.What is the probability that both X and Y have the same number of tails?3.What is the conditional probability of X given Y has two heads?4.Are X and Y independent of each other? Why or why not?5.What is the covariance of X and Y?6.What is the correlation of X and Y? Discuss the result