There is a fair coin and a biased coin that flips heads with probability 1/4. You randomly pick one of the coins and flip it until you get a heads. Let X be the number of flips you need. Compute EIXL and Var[Xl. 2.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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2.
There is a fair coin and a biased coin that flips heads with
probability 1/4. You randomly pick one of the coins and flip it until
you get a heads. Let X be the number of flips you need. Compute
E[X] and Var[X].
Transcribed Image Text:2. There is a fair coin and a biased coin that flips heads with probability 1/4. You randomly pick one of the coins and flip it until you get a heads. Let X be the number of flips you need. Compute E[X] and Var[X].
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