You are the owner of a small casino in Las Vegas. You want to reward the high-rollers who come to your casino. You want to give free accommodations to no more than 10% of your patrons
Suppose that the mean amount wagered by all patrons is $287, with a standard deviation of $15. You should give free accommodations to those individuals who wager over how much money?
P(X > k) = 0.10 ? P[Z > (k-287 ) / 15] = 0.10 ? (k - 287 ) / 15 = 1.28 ? k = $306.20
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