Question: Let X be a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,

Let X be a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2, ..., 7, with equal probabilities). Let Y be the next day after X (again represented as an integer between 1 and 7). (a) Do X and Y have the same distribution? Why? Hint: Think of the PMFs of X and Y . (b) What is P(X < Y )?

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