The number of runs scored per game by a particular major league baseball team isa discrete random variable with mean 3.9 runs and standard deviation 1.3 runs. Abaseball season consists of 182 games; letXdenote the average number of runs pergame for this particular team over the 182-game season.(a) Give an approximate distribution forX, with parameter(s), and explain whythis approximation is valid.(b) What is the probability that the team averages more than 4 runs per game