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A fair red die and a fair blue die are rolled. Let X be the random variable for

ID: 3387429 • Letter: A

Question

A fair red die and a fair blue die are rolled. Let X be the random variable for the number on the red die and Y be the random variable for the number on the blue die. Evaluate the expected value of the difference of these two random variables, i.e., E((X-Y)). A fair red die and a fair blue die are rolled. Let X be the random variable for the number on the red die and Y be the random variable for the number on the blue die. Evaluate the expected value of the difference of these two random variables, i.e., E((X-Y)). A fair red die and a fair blue die are rolled. Let X be the random variable for the number on the red die and Y be the random variable for the number on the blue die. Evaluate the expected value of the difference of these two random variables, i.e., E((X-Y)).

Explanation / Answer

E(X-Y)=E(X)-E(Y)=0 As E(X) = E(Y) As both are the random variable giving number coming the die.

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