Suppose you roll a fair die n times. What is the expectations of each of the following random variables?
Suppose you roll a fair die n times. What is the expectations of each of the following random variables?
(a) A is the random variable that denotes the sum of the numbers in those rolls.
(b) B is the random variable that denotes the maximum number in the those rolls.
(c) C is the random variable that denotes the sum of the largest two numbers in the first three rolls.
(d) D is the random variable that denotes the number of multiples of three in those rolls.
(e) E is the random variable that denotes the number of faces which fail to appear in those rolls.
(f) F is the random variable that denotes the number of distinct faces that appear in those rolls.
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