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Hi, struggling with this question. What is a reasonable theoretical pdf for a coin toss where the outcomes are a Head or a Tail? Work

Hi, struggling with this question.

What is a reasonable theoretical pdf for a coin toss where the outcomes are a Head or a Tail? Work out the mean and variance using your distribution and the formulae for E(X) and Variance(X) where X is the number of heads.

Can I please get the answer and all working?

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