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  3. suppose that x is uniformly selected from the numbers 1...

Question: suppose that x is uniformly selected from the numbers 1...

Question details

Suppose that X is uniformly selected from the numbers 1, 2, 3 (that is, P(X = i) = 1/3 for
i = 1, 2, or 3). Once X is selected, Y is chosen uniformly from the numbers 0, 1, ..., X. Find
E[X | Y ].

(c) Compute EX Y 7. Suppose that X is uniformly selected from the numbers 1, 2, 3 (that is, P(X- i) 1/3 for ,X. Find i = 1,2, or 3). Once X is selected, Yis chosen uniformly from the numbers 0,1, 8. Suppose that Y is a normal random variable with mean μ-3 and variance σ2-1; i.e., -dist y t N(3, 1). Also suppose that X s a binomial random variable with n-2 and p-1/4: i.e.,

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