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[MT2]19.Roll a pair of fair, six-sided dice until you see a sum of 11 or more. a)Find the probability that you roll3sums of 10 or

[MT2]19.Roll a pair of fair, six-sided dice until you see a sum of 11 or more.

a)Find the probability that you roll3sums of 10 or fewer.

b)Find the probability that the number of times that you roll a sum of 10 or fewer is greater than or equal to3.

c)Find the expected number of times that you roll a sum of 10 or fewer.

d)Find the variance of the number of times that you roll a sum of 10 or fewer.

answers:

a)(11/12)^3*1/12

b)(11/12)^3

c)11

d)132

could you help me with the process, especially for c and d?thanks

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