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Urgent help needed 3. [20 points] A fair coin is tossed repeatedly until head appears for the third time. (a) Calculate the mean and variance

Urgent help needed

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3. [20 points] A fair coin is tossed repeatedly until head appears for the third time. (a) Calculate the mean and variance of the total number of tails that show up (b) Let X be the random variable that denotes the total number of tails that show up. Write down the probability mass function and cumulative distribution function of X

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