Mathematics, 23.11.2019 05:31, blackx18
Suppose in the gambler’s ruin problem that the probability of winning a bet depends on the gambler’s present fortune. specifically, suppose that αi is the probability that the gambler wins a bet when his or her fortune is i. given that the gambler’s initial fortune is i, let p(i) denote the probability that the gambler’s fortune reaches n before 0.
(a) derive a formula that relates p(i) to p(i − 1) and p(i 1).
(b) using the same approach as in the gambler’s ruin problem, solve the equation of part (a) for p(i).
(c) suppose that i balls are initially in urn 1 and n − i are in urn 2, and suppose that at each stage one of the n balls is randomly chosen, taken from whichever urn it is in, and placed in the other urn. find the probability that the first urn becomes empty before the second.
Answers: 1
Mathematics, 21.06.2019 21:30, Harriche
The perimeter of a rectangular lot of land is 436 ft. this includes an easement of x feet of uniform width inside the lot on which no building can be done. if the buildable area is 122 ft by 60 ft, determine the width of the easement. select one: a. 9 feet b. 18 feet c. 4.5 feet d. 7 feet
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Mathematics, 22.06.2019 03:30, 2337911726
*15 pts* the graph of an exponential function of the form y = f(x) = ax passes through the points and the graph lies the x-axis. first line choices: (0, a) (0, 1) (0, 2) (0, -1) second line choices: (1, 0) (1, a) (1, 1) (1, -2) third line choices: above below on the
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Suppose in the gambler’s ruin problem that the probability of winning a bet depends on the gambler’s...
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Mathematics, 05.11.2019 13:31