Question: Alan will throw a six-sided fair die repeatedly until he obtains a 2. Bob will throw the same die repeatedly unit he obtains a 2

Alan will throw a six-sided fair die repeatedly until he obtains a 2. Bob will throw the same die repeatedly unit he obtains a 2 or 3. We assume that successive throws are independent, and Alan and Bob are throwing the die independently of one another. Let X be the sum of numbers of throws required by Alan and Bob.

a) Find P(X=9)

b) Find E(X)

c) Find Var(X

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