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For a symmetric random walk, (a) show that the increments at each step are independent and identically distributed (b) what is the probability that the

For a symmetric random walk,

(a) show that the increments at each step are independent and identically distributed

(b) what is the probability that the person returns to the origin for the first time after exactly 6 steps.

Hint: For (a) use the basic definition for independence of two random variable

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