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Question 6 Questions 6 and 7 are based on this table. Suppose X and Y are discrete random variables with the following joint probabilities: X Y=1 Y=2 0.2 0.1 2 0.1 0.3 0.2 0.1 Assuming that X and Y are independent, find the mean and variance of W = X + Y. Question 7 Suppose X is a random variable following a binomial (n, p) distribution, where n = 100 and p = 0.2, and Y is a random variable following a Poisson distribution with parameter A = 20. We know that E(X) = E(Y) = 20. Which of the following is the most accurate? Select the most appropriate option. O P(X P(Y