Let Rn n = 1,2, ... be a symmetric simple random walk. Compute the following (a) P(R2n = 0) (b) P(Rn = R2n) (c) P(|R₁ R₂ R3 = 2) (d) P(R7 + R₁2 = R₁ + R16)

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Please solve all four (a,b,c,d) sub questions

 

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Let Rn n = 1,2, ... be a symmetric simple random walk. Compute the following
2n
(b) P(R, = R2n)
(c) P(|R1R2R3| = 2)
(d) P(R7+ R12 = R1 + R16)
Transcribed Image Text:Let Rn n = 1,2, ... be a symmetric simple random walk. Compute the following 2n (b) P(R, = R2n) (c) P(|R1R2R3| = 2) (d) P(R7+ R12 = R1 + R16)
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