A penny and a nickel are tossed. The penny has probability 0.4 of coming up heads, and the nickel has probability 0.6 of coming up heads. Let X = 1 if the penny comes up heads, and let X = 0 if the penny comes up tails. Let Y = 1 if the nickel comes up heads, and let Y = 0 if the nickel comes up tails. a) Find the probability mass function of X. b) Find the probability mass function of Y. c) Is it reasonable to assume that X and Y are independent? Why? d) Find the joint probability mass function of X and Y.

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Q: The joint probability mass function of X and Y is given by p(1, 1) = 0.05 p(1, 2) = 0.1 p(1, 3) =…

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