Question: 8.5 Consider the random walk Sn 5 X1 1 X2 1?1 Xn, where the Xi are independent and identically distributed Bernoulli random variables that take

8.5 Consider the random walk Sn 5 X1 1 X2 1?1 Xn, where the Xi are independent and identically distributed Bernoulli random variables that take on the value 1 with probability p 5 0:6 and the value 21 with probability q 5 1 2 p 5 0:4.

a. Find the probability P½S8 5 0.

b. What value of p maximizes P½S8 5 0?

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