Zainab runs her own business where she leads guided day-long tours for small groups of tourists in her city. Each tour has a maximum of 333 guests. Let XXX represent the number of customers Zainab gets on a randomly chosen day. Based on previous data, here is the probability distribution of XXX along with summary statistics: X=\text{\# of customers}X=# of customersX, equals, start text, \#, space, o, f, space, c, u, s, t, o, m, e, r, s, end text 000 111 222 333 P(X)P(X)P, left parenthesis, X, right parenthesis 0.200.200, point, 20 0.100.100, point, 10 0.400.400, point, 40 0.300.300, point, 30 Mean: \mu_X=1.8μ X =1.8mu, start subscript, X, end subscript, equals, 1, point, 8 Standard deviation: \sigma_X\approx1.08σ X ≈1.08sigma, start subscript, X, end subscript, approximately equals, 1, point, 08 It costs Zainab \$5$5dollar sign, 5 each day to pay for her own transportation to her business, and then each customer she gets pays her \$60$60dollar sign, 60. Let YYY represent Zainab's net gain on a randomly chosen day. What are the mean and standard deviation of YYY?