You repeatedly roll a biased die, where, on any given roll, the probability of each outcome is(pi: i=1,...,6), let T be the first roll on which the die does not show a 6 and let X be the number shown on roll T. 1. Give the probability distribution of T. 2. What is the mean of T 3.Derive the joint probability distribution of T and X 4.Are X and T independent. Justify

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