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5. We have a four sided die and the die is not fair meaning that the probability of getting 1 is 3 times (*3) the

5. We have a four sided die and the die is not fair meaning that the probability of getting "1" is 3 times (*3) the probability of getting other values (2,3,4) but the probability of the other possibilities are equal. We define the random variable Z which shows the number when we roll the die. Calculate the following(5 point each): What is the expected value of Z? What is the probability mass function for the random variable Z? Is it Uniform distribution? Explain your

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