A restaurant sells three sizes of shakes. The small, medium and large sizes each cost \$2. 00$2. 00dollar sign, 2, point, 00, \$3. 00$3. 00dollar sign, 3, point, 00, and \$3. 50$3. 50dollar sign, 3, point, 50 respectively. Let XXX represent the restaurant's income on a randomly selected shake purchase. Based on previous data, here's the probability distribution of XXX along with summary statistics: Small Medium Large X=\text{income (\$)}X=income ($)X, equals, start text, i, n, c, o, m, e, space, left parenthesis, dollar sign, right parenthesis, end text 2. 2. 002, point, 00 3. 3. 003, point, 00 3. 503. 503, point, 50 P(X)P(X)P, left parenthesis, X, right parenthesis 0. 280. 280, point, 28 0. 400. 400, point, 40 0. 320. 320, point, 32 Mean: \mu_X=\$2. 88μ X =$2. 88mu, start subscript, X, end subscript, equals, dollar sign, 2, point, 88 Standard deviation: \sigma_X\approx\$0. 59σ X ≈$0. 59sigma, start subscript, X, end subscript, approximately equals, dollar sign, 0, point, 59 During the last hour of business, the restaurant offers a special that gives customers \$1$1dollar sign, 1 off any size shake. Assume that the special doesn't change the probability that corresponds to each size. Let YYY represent their income on a randomly selected shake purchase with this special pricing. What are the mean and standard deviation of YYY?.