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Two random variables X and Y have means X = 1 and Y = 2, variances o=4 and o} = 1, and PXY = 0.4. New random variables W and V are defined by and V=-X + 2Y W = X +3Y. Find (a) the means, (b) the variances, (c) the correlations and (d) the correlation coefficient Pvw of V and W.

Two random variables X and Y have means X = 1 and Y = 2, variances o=4 and o} = 1, and PXY = 0.4. New random variables W and V are defined by and V=-X + 2Y W = X +3Y. Find (a) the means, (b) the variances, (c) the correlations and (d) the correlation coefficient Pvw of V and W.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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X Two random variables X and Y have means X = 1 and Y=2, variances o = 4 and o} = 1, and Pxy = 0.4. New random variables W and V are defined by and V =-X + 2Y W = X +3Y. Find (a) the means, (b) the variances, (c) the correlations and (d) the correlation coefficient Pvw of V and W.
Transcribed Image Text:X Two random variables X and Y have means X = 1 and Y=2, variances o = 4 and o} = 1, and Pxy = 0.4. New random variables W and V are defined by and V =-X + 2Y W = X +3Y. Find (a) the means, (b) the variances, (c) the correlations and (d) the correlation coefficient Pvw of V and W.
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