Let (X,Y) be a bivariate random variable, where X is an exponential r.v. with mean 1. $ Cov(X,Y)=-2$ , $ E[Y]=-2$ , and $ Var(Y)=4$ . Find the cdf of Y.

All I can get is $ E[XY]=-4$ and $ E[Y^2]=8$ . how can these condition get the cdf of Y?

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# Tag: $EY=2$

## $X~exp(1)$,$Cov(X,Y)=-2$, $E[Y]=-2$, and $Var(Y)=4$. Find the cdf of Y

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Let (X,Y) be a bivariate random variable, where X is an exponential r.v. with mean 1. $ Cov(X,Y)=-2$ , $ E[Y]=-2$ , and $ Var(Y)=4$ . Find the cdf of Y.

All I can get is $ E[XY]=-4$ and $ E[Y^2]=8$ . how can these condition get the cdf of Y?

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