A carnival has a ring-toss game where players try to toss rings around a stick. A player gets two attempts in a game. Let X repr
esent the number of rings a randomly chosen customer successfully tosses around the stick in a game. Based on previous data, here's the probability distribution of X along with summary statistics:
X=\text{\# of successes}X=# of successesX, equals, start text, \#, space, o, f, space, s, u, c, c, e, s, s, e, s, end text 000 111 222 P(X)P(X)P, left parenthesis, X, right parenthesis 0.900.900, point, 90 0.080.080, point, 08 0.020.020, point, 02 Mean: \mu_X=0.12μ X =0.12mu, start subscript, X, end subscript, equals, 0, point, 12 Standard deviation: \sigma_X\approx0.38σ X ≈0.38sigma, start subscript, X, end subscript, approximately equals, 0, point, 38
A player wins 10 tickets for each successful toss. Let T represent the number of tickets a randomly chosen players wins in a game. What are the mean and standard deviation of T?
