5-50 A biased coin is tossed and the first outcome is noted. The tossing is continued until the outcome is the complement of the first outcome, thus completing the first run. Let x denote the length of the first run. Find the p.m.f of x, and show that E(x): P 9. www. q P

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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5-50 A biased coin is tossed and the first outcome is noted. The tossing is continued until the
outcome is the complement of the first outcome, thus completing the first run. Let x denote
the length of the first run. Find the p.m.f of x, and show that
E{x} =
P
q
+
9
P
Transcribed Image Text:5-50 A biased coin is tossed and the first outcome is noted. The tossing is continued until the outcome is the complement of the first outcome, thus completing the first run. Let x denote the length of the first run. Find the p.m.f of x, and show that E{x} = P q + 9 P
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