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Let X denote the size of a surgical claim and let Y denote the size of...

Let X denote the size of a surgical claim and let Y denote the size of the associated hospital claim. An analyst is using a model in which Var[X] = 2.4, E[Y ] = 7, E[Y^2]=51.4 and Var[X+Y]=8. If a 20% increase is added to the hospital portion oft he claim, find the variance of the new total combined claim.

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