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Define the following experiment. Repeatedly toss an unbiased coin until you have either obtained 2 Heads or tossed the coin 4 times. Answer the following

Define the following experiment.Repeatedly toss an unbiased coin until you have either obtained 2 Heads or tossed the coin 4 times.

Answer the following questions in the text input box, with full justification for your answers.

(a) Write down the sample space S={ } as a set of possible toss patterns.

(b) What is the expected number of tosses in this experiment?

(c) What is the expected number of heads in this experiment?

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