2) Assume that X is the random number we obtain when we throw a certain given four sided die. So, the random number X is either 1, 2, 3 or 4 each with a given probability denotes by P1. P2. Pa. P4. Hence P(X = 1) = pi and P(X = 2) = p2,. Assume that we throw this die many times independently. Show (prove) that the average goes to the expectation. that is show that X1 + X2+... +X + E[X] as n goes to infinity. For this you can assume known, the fact that the relative frequencies with which each side appears on the long run converges to the probability of the respective side

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