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Suppose we flip a coin three times, thereby forming a sequence of heads and tails. Form...

Suppose we flip a coin three times, thereby forming a sequence of heads and tails. Form a random vector by mapping each outcome in the sequence to 0 if a head occurs or to 1 if a tail occurs. (a) How many realizations of the vector may be generated? List them. (b) Are the realizations independent of one another?

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