Question: You choose at random an integer from 1, 2, . . . , 6. Next you roll a fair die until you get an outcome

You choose at random an integer from 1, 2, . . . , 6. Next you roll a fair die

until you get an outcome that is larger than or equal to the randomly chosen

integer.

a- What is the expected value of the number of times you will roll the die?

(Approximate to 2 decimal places)

b- What is the standard deviation of the number of times you will roll the

die? (Approximate to 3 decimal places)

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