Which of the following are true: □ If X and Y are two independent random variables with probability density functions f(x), g(y) respectively, then f(x)g(y) is the joint pdf for X and Y. Suppose X and Y are two random variable with joint probability mass function p(x, y). If we can show that p(3, 6) = px (3)py (6) we must know that X and Y are independent. □ Suppose X and Y are two random variable with joint probability mass function p(x, y). we can show that p(3, 6) = px (3)py (6) we must know that X and Y are dependent. □ If X and Y are two independent random variables with probability density functions f(x), g(y) respectively, then f(x) + g(y) is the pdf of the random variable Z = X+Y □ If X Pois (A) and Y~ Pois (u), then X+Y~ Pois(A+) □ If X~ Pois (A) and Y~ Pois (u), and X and Y are independent, then X+Y~ Pois (X + μ)

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