The following table lists the bivariate distribution of X and Y. y E(X+Y) V(X+Y) 1 1 = X = 2 2 0.1 0.4 0.4 0.1 It has been found that E(X) = 1.5, E(Y) = 1.5, V(X) = 0.25, V(Y) = 0.25, and COV(X, Y) = 0.15. Use the laws of expected value and variance of the sum of two variables to compute the mean and variance of X + Y. ECK MIY Work

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The following table lists the bivariate distribution of X and Y.
y
E(X + Y)
V(X+Y)
1
1
=
X
=
2
2 0.1 0.4
0.4 0.1
It has been found that E(X) = 1.5, E(Y) = 1.5, V(X) = 0.25, V(Y) = 0.25, and COV(X, Y) = 0.15.
Use the laws of expected value and variance of the sum of two variables to compute the mean and
variance of X + Y.
ECK MIY Work
Transcribed Image Text:The following table lists the bivariate distribution of X and Y. y E(X + Y) V(X+Y) 1 1 = X = 2 2 0.1 0.4 0.4 0.1 It has been found that E(X) = 1.5, E(Y) = 1.5, V(X) = 0.25, V(Y) = 0.25, and COV(X, Y) = 0.15. Use the laws of expected value and variance of the sum of two variables to compute the mean and variance of X + Y. ECK MIY Work
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