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 = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} 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
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Chapter1: Combinatorial Analysis
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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:
4
4
S%3D (HНH, ННТ, НTH, НTT, TНН, THT, TTH, T}
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: 4 4 S%3D (HНH, ННТ, НTH, НTT, TНН, THT, TTH, T} Let X denote the number of heads that appear. (a) Find the distribution f of X. (b) Find E(X).
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