Q1) Let's roll a fair die repeatedly until a number less than 3 is observed. If...

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Q1) Let's roll a fair die repeatedly until a number less than 3 is observed. If X is the total number of times we roll the die, a) Which distribution is X random variable? b) Find P(X = x), for x = 1,2,3,... c) Find the probability that a number less than 3 is observed in the 6th rolls. Q1) Let's roll a fair die repeatedly until a number less than 3 is observed. If X is the total number of times we roll the die, a) Which distribution is X random variable? b) Find P(X = x), for x = 1,2,3,... c) Find the probability that a number less than 3 is observed in the 6th rolls.