Let X be a random walk defined by Xo = 0 = XnZi, n1, i=1 where...

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Let X be a random walk defined by Xo = 0 = XnZi, n≥1, i=1 where {Z} is an i.i.d. process with P(Z₁ = −1) = P(Z₁ = +1) = 1. Define the absolute value random process Y₁ = |X|- (a) Find P{Y=k}. (b) Find P{max{Y: 1<i<20} = 10 | Y20 = 0}. Let X be a random walk defined by Xo = 0 = XnZi, n≥1, i=1 where {Z} is an i.i.d. process with P(Z₁ = −1) = P(Z₁ = +1) = 1. Define the absolute value random process Y₁ = |X|- (a) Find P{Y=k}. (b) Find P{max{Y: 1<i<20} = 10 | Y20 = 0}.

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Solutions Step1 a To find PY n k we need to consider the possible values of Sn the random walk at step n and calculate the probability that Snk If k i... View the full answer