A fair coin is tossed repeatedly. The probability that the first head occurs on the nth toss

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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 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).

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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