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I am going to use a weighted coin to flip until first Tails occur. P(Heads) = 0.65, P(Tails) = 0.35. Let X be the number

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I am going to use a weighted coin to flip until first Tails occur. P(Heads) = 0.65, P(Tails) = 0.35. Let X be the number of flips: A) Find the mean of X. B) Find the variance of Y. C) Find the probability that at least 4 flips are needed. Now, I am going to flip the coin until I get Tails twice! (second tail on the last flip) D) What is the average number of times I am going to have to flip the coin? E) What is the probability that I will need to flip the coin less than 5 times to get 2 Tails

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