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uva123
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Homework Statement
Suppose that a particle starts at the origin of the real line and moves along the line in
jumps of one unit. For each jump, the probability is p that the particle will jump one unit to the left and the probability is (1-p) that the particle will jump one unit to the right.
Find the expected value of the position of the particle after n jumps.
Homework Equations
E(x)=[tex]\sumf(x)xdx[/tex] from -infinity to +infinity (continuous case)
E(x)=[tex]\sumf(x)x[/tex] for all x (discrete case)
The Attempt at a Solution
p(0<p<1) =>jumps one unit left
q=(1-p) =>jumps one unit right