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Random Variables, Probability Mass Function, Mean and Variance

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Let X denote the number of heads obtained in the flipping of a fair coin twice.
(a) Find the pmf of X.
(b) Compute the mean and the variance of X.

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Random Variables, Probability Mass Function, Mean and Variance are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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Let H represent head and T represent T. If we flip a fair coin twice, then only 4 outcomes ...

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