Consider two random variables x and y whose joint distribution is given in the table below. X/Y–10 1 -1 0,02|0,12|0,11| 0 1/81/41/8 1 0,1 0,1 0,05 1 Note: All final answers must be rounded to 4 decimal places of approximation, but do not do any rounding in the middle stages of the solution. a) Calculate the covariance between X and Y b) Calculate the covariance between X? and Y2 c) Calculate the covariance between X° + 1 and Y3 – 1

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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Consider two random variables x and y whose joint distribution is given in the table below.
X/Y-1 0 1
-1 0,02 0,12|0,11|
0 1/81/41/8
0,1 0,1 0,05
1
Note: All final answers must be rounded to 4 decimal places of approximation, but do not do any rounding
in the middle stages of the solution.
a) Calculate the covariance between X and Y
b) Calculate the covariance between X? and Y2
c) Calculate the covariance between X° + 1 and Y3 – 1
Transcribed Image Text:Consider two random variables x and y whose joint distribution is given in the table below. X/Y-1 0 1 -1 0,02 0,12|0,11| 0 1/81/41/8 0,1 0,1 0,05 1 Note: All final answers must be rounded to 4 decimal places of approximation, but do not do any rounding in the middle stages of the solution. a) Calculate the covariance between X and Y b) Calculate the covariance between X? and Y2 c) Calculate the covariance between X° + 1 and Y3 – 1
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