A fair dice with sides numbered with {1, 2, 3, 4, 5, 6} was rolled three times. Let X denote number of times 6 was rolled in the first two rolls and let Y denote the total number of 6 rolled. Find the covariance of X and Y.

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 16E
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A fair dice with sides numbered with {1, 2, 3, 4, 5, 6} was rolled three times. Let X
denote number of times 6 was rolled in the first two rolls and let Y denote the total
number of 6 rolled. Find the covariance of X and Y.
Transcribed Image Text:A fair dice with sides numbered with {1, 2, 3, 4, 5, 6} was rolled three times. Let X denote number of times 6 was rolled in the first two rolls and let Y denote the total number of 6 rolled. Find the covariance of X and Y.
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