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50. Suppose a fair die is rolled ten times. Find the expectations of each of the following random variables: (a) the sum of the numbers in the ten rolls; (b) the sum of the largest two numbers in the first three rolls; (c) the maximum number in the first five rolls; (d) the number of multiples of three in the ten rolls; (e) the number of faces which fail to appear in the ten rolls; (f) the number of different faces that appear in the ten rolls. Answer: (a) 35 (b) 203/24 (c) 14077/2592 Math 4530 Homework Page 16 of 69 (d) 10/3 (e) 6. (2)10 (f) 6-6. (5)10