Nikola likes to play horseshoes, where players try to score a ringer by throwing a horseshoe so it lands around a post. A player
gets 2 22 attempts each round. Let R RR represent the number of ringers that Nikola scores in a round. Here's the probability distribution of R RR along with summary statistics. R = # of ringers R=# of ringersR, equals, start text, \#, space, o, f, space, r, i, n, g, e, r, s, end text 0 00 1 11 2 22 P ( R ) P(R)P, left parenthesis, R, right parenthesis 0.75 0.750, point, 75 0.20 0.200, point, 20 0.05 0.050, point, 05 Mean: μ R = 0.3 μ R =0.3mu, start subscript, R, end subscript, equals, 0, point, 3 Standard deviation: σ R ≈ 0.56 σ R ≈0.56sigma, start subscript, R, end subscript, approximately equals, 0, point, 56 Nikola gets 3 33 points for each ringer that he scores. Let X XX represent the number of points that Nikola gets from ringers in a round. What are the mean and standard deviation of X XX? μ X = μ X =mu, start subscript, X, end subscript, equals points σ X ≈ σ X ≈sigma, start subscript, X, end subscript, approximately equals points
