3. On the sample space of 10-flip sequences of a fair coin S: (a) Define three dierent...

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3. On the sample space of 10-flip sequences of a fair coin S:

(a) Define three di¤erent random variables, X : S ! R. (Hint: For simplicity, identify an H with a 1, and a T with a 0.)

(b) Determine the associated ranges of these functions.

(c) Calculate PrðaÞ for one a in the range of each X.

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