A coin is weighted so that P(H) = and P(T) = . The coin is tossed 3 times yielding the following 8-element probability space: %3D 4 S%3D (ННН, ННТ, НTH, HTT, THН, ТHТ, ТТH, TТT} Let X denote the number of heads that appear. (a) Find the distribution f of X. (b) Find E(X).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A coin is weighted so that P(H) = and P(T) = . The coin is tossed 3 times yielding the following
8-element probability space:
S%3D (ННH, ННТ, НTН, HTT, TНН, THТ, TTH, TTT}
Let X denote the number of heads that appear. (a) Find the distribution f of X. (b) Find E(X).
Transcribed Image Text:A coin is weighted so that P(H) = and P(T) = . The coin is tossed 3 times yielding the following 8-element probability space: S%3D (ННH, ННТ, НTН, HTT, TНН, THТ, TTH, TTT} Let X denote the number of heads that appear. (a) Find the distribution f of X. (b) Find E(X).
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