One is rolling a fair 5 side die. He will roll the die once (denote the number of dots he gets by Y), and proceed accord

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One Is Rolling A Fair 5 Side Die He Will Roll The Die Once Denote The Number Of Dots He Gets By Y And Proceed Accord 1 (67.85 KiB) Viewed 16 times

One is rolling a fair 5 side die. He will roll the die once (denote the number of dots he gets by Y), and proceed according to the following. •Ify < 3 then he rolls for a second time and the number of dots in second roll will be counted as the final number of dots he gets. • If Y> 3, then he stops and the number of dots he got in the first roll will be used as the final number of dots. • If Y = 3, then he flip a fair coin. If the coin lands 'H', then he will make a second roll and the number of dots in the second roll will be counted as the final number of dots he gets; otherwise he stops (in which case Y will be used as the final number of dots he gets). Denote the final number of dots he gets by random variable X. Find the PMF of X.