Question 1 10 pts 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 DEClMAL PLACES. a) Construct the probability distribution for the random variable 5, the number of goals scored. b) Calculate the expected value (mean) of S. as = C:_.-l c) Calculate the standard deviation of S. o (5) = Cg