Two fair six-sided dice are rotted Cone green and one orange), with out comes X and Y respectively for the green and the orange. and a) Compute the corarcance of X+Y х-у b) Ane X + Y and X-Y independent? Show that they are, or that they aren't

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Two fair six-sided dice are rolled (one green and one orange), with outcomes X and Y respectively for the green and the orange.

a) Compute the covariance of X + Y and X - Y.

b) Are X + Y and X - Y independent? Show that they are, or that they aren't.
Transcribed Image Text:Two fair six-sided dice are rolled (one green and one orange), with outcomes X and Y respectively for the green and the orange. a) Compute the covariance of X + Y and X - Y. b) Are X + Y and X - Y independent? Show that they are, or that they aren't.
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