Question: A fair coin is tossed repeatedly. The probability that the first head occurs on the nth toss is given by (a) Show that (b) The

A fair coin is tossed repeatedly. The probability that the first head occurs on the nth toss is given byP(n) = (-)", where n 1.

(a) Show that

(b) The expected number of tosses required until the first head occurs in the experiment is given by

Is this series geometric?
(c) Use a computer algebra system to find the sum in part (b).

P(n) = (-)", where n 1.

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