The probability that a hockey team scores a total of 1 goal in a game is 0.124; 2 goals, 0.297; 3 goals, 0.402; 4 goals, 0.094; and 5 goals, 0.083. ROUND YOUR ANSWERS TO THREE DECIMAL PLACES. a) Construct the probability distribution for the random variable S, the number of goals scored. S = s P(S = s) 1 2 3 4 5 1.000 b) Calculate the expected value (mean) of S. E(S) = c) Calculate the standard deviation of S. (S) =