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A coin is tossed 5 times. Let the random variable ? be the difference between the...

A coin is tossed 5 times. Let the random variable ? be the difference between the number of heads and the number of tails in the 5 tosses of a coin. Assume ?[heads] = ?.

  1. Find the range of ?, i.e., ??.

  2. Let ? be the number of heads in the 5 tosses, what is the relationship between ? and ?, i.e., express ? as a function of ??

  3. Find the pmf of ?.

  4. Find ?[?].

  5. Find VAR[?].

Math   Statistics-And-Probability   
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