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Mathematics, 20.02.2020 19:34 dontcare7045

You are playing a game that uses a fair 12-sided die whose faces are numbered 1, 2, . … 12 The value of a roll is the number showing on the top of the die when it comes to rest. Give all answers as simplified fractions. (a) Let X be the value of one roll of the die. Compute E[X] and Var(X) (b) Let Y be the sum of the values of 4 independent rolls of the die. Compute E[Y ] and Var(Y ). Use independence, and state precisely where in your computation you are using it. (c) Let Z be the average of the values of 4 independent rolls of the die. Compute EIZ] and Var(Z). Use independence, and state precisely where in your computation you are using it.

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You are playing a game that uses a fair 12-sided die whose faces are numbered 1, 2, . … 12 The value...
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