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categoryإحصاء schoolبكالوريوس event_available2026-07-14

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Question 6. From a group of three Republicans, two Democrats, and one independent, a committee of two people is to be randomly selected. Let Y₁ denote the number of Republicans and Y2 denote the number of Democrats on the committee. Please answer the following questions. i) Find the joint pmf of (Y₁, Y2). (Table form) ii) Find the marginal pmf of Y₁ and Y2. iii) Find the conditional pmf of Y₁ given that Y₂ = 1. iv) Are Y₁ and Y2 independent each other? Why or why not?

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