Question: 10. [10 marks] A fair nsided (n is a xed integer greater than one.) die is tossed and the value of the upper face is

10. [10 marks] A fair nsided (n is a xed integer greater than one.) die is tossed and the value of the upper face is taken as the random variable X. (a) What is the sample space S X? (b) What is the PMF of X, PXM? (0) Calculate the expected value of X , E[X]. (d) Calculate the second moment of X, E[X2]. (e) Two such dice are tossed and the sum of the faces Y 2 X1 + X2 is observed. What is Sy? (f) What is E[Y]

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