Question

In the casino game roulette, if a player bets $1 on red (or on black or on odd or on even), the probability of winning $1 is 18/38 and the probability of losing $1 is 20/38. Suppose that a player begins with $5 and makes successive $1 bets. Let Y equal the players maximum capital before losing the $5. One hundred observations of Y were simulated on a computer, yielding the following data: 25 9 5 5 5 965 5 45 55 6 5 6 24 21 16 58 7 5 5 35 13 9 518 6 10 19 16 21 8 13 5 910 10 6 23 8 5 10 15 7 5 5 24 9 11 34 12 17 16 5 155 12 6 55 7 617 20 78 8 6 10 675 12 11 18 6 21 6 5 24 716 21 23 15 11 86 8 14 1 6 96 10

find the 10th, 30th, 60th, and 90th percentiles.

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