Question: Please show the work thank you ! Problem 5.2 (10 points) Let (Sn)nzo be the symmetric simple random walk starting in 0 (i.e. So =

Please show the work thank you !

Problem 5.2 (10 points) Let (Sn)nzo be the symmetric simple random walk starting in 0 (i.e. So = 0) with p = 0.5 . Compute explicitly the following probabilities: (i) Po[S2 = -2, S7 = -3], (ii) Po[S2 0 : Sn = k} for all ke Z

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