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Roll a pair of unbiased four-sided dice, one red and one black, each of which as possible outcomes 0, 1, 2, 3. Let X denote the outcome of the red die, and let Y equal the sum of the red die and the black die. a) Show the space X and Y on a graph. Are X and Y independent or dependent? Why or why not? b) Define the joint p.m.f. with a formula. c) Give the marginal p.m.f of Y in the margin. d) Find P(X> Y)

Roll a pair of unbiased four-sided dice, one red and one black, each of which as possible outcomes 0, 1, 2, 3. Let X denote the outcome of the red die, and let Y equal the sum of the red die and the black die. a) Show the space X and Y on a graph. Are X and Y independent or dependent? Why or why not? b) Define the joint p.m.f. with a formula. c) Give the marginal p.m.f of Y in the margin. d) Find P(X> Y)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 29E
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Roll a pair of unbiased four-sided dice, one red and one black, each of which as possible outcomes 0, 1, 2, 3. Let X denote the outcome of the red die, and let Y equal the sum of the red die and the black die. a) Show the space X and Y on a graph. Are X and Y independent or dependent? Why or why not? b) Define the joint p.m.f. with a formula. c) Give the marginal p.m.f of Y in the margin. d) Find P(X> Y)
Transcribed Image Text:Roll a pair of unbiased four-sided dice, one red and one black, each of which as possible outcomes 0, 1, 2, 3. Let X denote the outcome of the red die, and let Y equal the sum of the red die and the black die. a) Show the space X and Y on a graph. Are X and Y independent or dependent? Why or why not? b) Define the joint p.m.f. with a formula. c) Give the marginal p.m.f of Y in the margin. d) Find P(X> Y)
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