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).

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