Question: 1. In a probability exam, for two random variables X and Y with a given joint probability density function, Fionas calculations resulted in E(X) =

1. In a probability exam, for two random variables X and Y with a given joint probability density function, Fiona’s calculations resulted in E(X) = E(Y ) = 2, E(X2) = 13, E(Y 2) = 40, and E(XY ) = 23. However, Fiona got no points for these answers.

Under her solution, the professor wrote, impossible results. Show that, in fact, for no joint probability density function such results are possible.

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