A restaurant offers hamburgers with one, two, or three patties. Let XXX represent the number of patties a randomly chosen custom
er orders on their hamburger. Based on previous data, here's the probability distribution of XXX along with summary statistics: X=\text{\# of patties}X=# of pattiesX, equals, start text, \#, space, o, f, space, p, a, t, t, i, e, s, end text 111 222 333 P(X)P(X)P, left parenthesis, X, right parenthesis 0.400.400, point, 40 0.500.500, point, 50 0.100.100, point, 10 Mean: \mu_X=1.7μ X =1.7mu, start subscript, X, end subscript, equals, 1, point, 7 Standard deviation: \sigma_X\approx0.67σ X ≈0.67sigma, start subscript, X, end subscript, approximately equals, 0, point, 67
