Problems (p379-389): 7, 9, 30, 37, 38, 45, 50, 53, 58, 64, 70, 75.
Theoretical exercises (p389-397): 1, 19, 48.
Bonus question (Due Thu, Dec 11):
Two gamblers A and B bet on successive flips of a coin. On each flip, if the coin comes up heads, A pays $1 to B, whereas if it comes up tails, A collects $1 from B. They continue to do this until one of them runs out of money. Successive flips of a coin are independent and each flip results in a head with probability p. Calculate mi, the expected number of games played until one of the players runs out of money, when the initial fortune of player A is $i and that of player B is $N-i, 0<=i<=N. (Hint: condition on the first flip of a coin and note that m0=mN=0.)