2) Assume that X is the random number we obtain when we throw a certain given four sided die. So, the random mmber X is

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2 Assume That X Is The Random Number We Obtain When We Throw A Certain Given Four Sided Die So The Random Mmber X Is 1 (17.92 KiB) Viewed 20 times

2) Assume that X is the random number we obtain when we throw a certain given four sided die. So, the random mmber X is either 1, 2, 3 or each with a given probability denotes by Pl.P.P.pa. 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 x + x₂ +...+X, EX] 72 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