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3. Two fair dice are rolled, the outcome is w = (x, y), x, y = {1, 2, 3, 4, 5, 6}. Let X = max(x, y) and Y = min(x, y). Find P{3≤ X ≤5, Y = 2}. Are X and Y independent? Justify your answer.

3. Two fair dice are rolled, the outcome is w = (x, y), x, y = {1, 2, 3, 4, 5, 6}. Let X = max(x, y) and Y = min(x, y). Find P{3≤ X ≤5, Y = 2}. Are X and Y independent? Justify your answer.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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3. Two fair dice are rolled, the outcome is w = (x, y), x, y = {1, 2, 3, 4, 5, 6}. Let X = max(x, y) and Y = min(x, y). Find P{3≤ X ≤5, Y = 2}. Are X and Y independent? Justify your answer.
Transcribed Image Text:3. Two fair dice are rolled, the outcome is w = (x, y), x, y = {1, 2, 3, 4, 5, 6}. Let X = max(x, y) and Y = min(x, y). Find P{3≤ X ≤5, Y = 2}. Are X and Y independent? Justify your answer.
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