3) Smirky McHavadrink, drives drunk all the time. Suppose that it takes three DUI's for Smirky to lose his license. Suppose that on a given evening there is a 10% chance that Smirky will get a DUI and each evening is independent of the others. Let X be the number of evenings until Smirky loses his license. a) How is X distributed? b) What is the expected number of days until Smirky loses his license.

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