Suppose you roll a fair die n times. What is the expectations of each

of the following random variables?(a) (5 points) A is the random variable that denotes the sum of the numbers in those rolls.(b) (5 points) B is the random variable that denotes the maximum number in the those rolls.(c) (8 points) C is the random variable that denotes the sum of the largest two numbers in the firstthree rolls.(d) (8 points) D is the random variable that denotes the number of multiples of three in those rolls.(e) (8 points) E is the random variable that denotes the number of faces which fail to appear in thoserolls.(f) (5 points) F is the random variable that denotes the number of distinct faces that appear in thoserolls.

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