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In a classical ruin problem with two gamblers, the initial capital of one of the gamblers, Alice, is $90 and the combined initial capital (CIC) is $200. In each trial of the game, an unbiased coin is tossed - Alice wins when the coin shows heads.
a) What is the expected duration of the game?
b) Given the same CIC, how much more money should Alice have ititially so as to maximize the expected duration of the game?
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Researcher is interested in testing whether there are differences in mean between population one and population two.
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According to a recent survey of 500 randomly selected residents of Popular City, it was found that 38% are in favor of raising city taxes in order to build a new stadium for the local baseball team. (a) What is the population of interest of the su..
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