Question: 8.2.4 Consider the simple random walk Sn D 1 C Cn; S0 D 0; in which the summands are independent with Prf D 1g

8.2.4 Consider the simple random walk Sn D 1 C  Cn; S0 D 0;

in which the summands are independent with Prf D 1g D 12

. Let Mn D max0kn Sk. Use a reflection argument to show that PrfMn  ag D 2PrfSn > agCPrfSn D ag; a > 0:

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