Toss a fair coin two times. If you get two tails roll a 6-sided die, otherwise roll a 4-sided die. Let X=roll on die and Y=(roll on die) − (number of tails) a) Give the joint distribution for X and Y. b) Find Cov(X,Y).

Toss a fair coin two times. If you get two tails roll a 6-sided die, otherwise roll a 4-sided die. Let X=roll on die and Y=(roll on die) − (number of tails) a) Give the joint distribution for X and Y. b) Find Cov(X,Y).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 21E

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Question

Toss a fair coin two times. If you get two tails roll a 6-sided die, otherwise roll a 4-sided die. Let X=roll on die and Y=(roll on die) − (number of tails)
a) Give the joint distribution for X and Y.
b) Find Cov(X,Y).

Expert Solution