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4. A particle moves on the x - axis starting at x=0. With equal probability, the particle moves to
the left or right one unit. Let X denote the position on the x - axis after four moves. (a) Find
pX(x). Notice that X can take on 4,2,0,2,4. Fill out the table below. (b) What is the expected
position of the particle after four moves. That is, compute E(X). Express your answer as a
fraction in lowest terms.

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