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A restaurant sells three sizes of shakes. The small, medium and large sizes each cost $2.00, $3.00, and $3.50 respectively. Let X represent the restaurant's income on a randomly selected shake purchase. Based on previous data, here's the probability distribution of X along with summary statistics: Small Medium Large X income ($) 2.00 3.00 3.50 P(X) 0.28 0.40 0.32 Mean: ux = $2.88 Standard deviation: Ox $0.59 Х Unit test X = income ($) 2.00 3.00 3.50 P(X) 0.28 0.40 0.32 Mean: Mx = $2.88 Standard deviation: Ox $0.59 During the last hour of business, the restaurant offers a special that gives customers $1 off any size shake. Assume that the special doesn't change the probability that corresponds to each size. Let Y represent their income on a randomly selected shake purchase with this special pricing. What are the mean and standard deviation of Y?
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