Determine the joint distribution
Toss a fair coin till you get HHH or TTT but not more than eight tosses. Let X be the number of tosses and Y be the difference of heads and tails. Determine the joint distribution of X and Y. Also compute the correlation coefficient of X and Y.
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If the account were to remain whole, being passed from generation to generation, for given 350 years, how much would be in account at end of those 350 years?
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