sampling with a pair of dice calculate the sum of the pair 1

sampling with a pair of dice, calculate the sum of the pair 10 times. then calculate the average. Then do it again 20 times and calculate the average?

Solution

Sum of pair would be 2,3,4....12

X is the sum x takes values as 2,3,4....12

Expected sum for 1 time = 7

Hence for 10 times average sum = 10x7 = 70

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For 20 times average = 20x7 = 140