The table below gives approximate probabilities for scoring 0 1 2 3 or 4 runs in one inning of Major League Baseball Although it is possible to score more than 4 runs in one inning the probability is very small so it is ignored in this question H x P x 0 67 0 18 0 07 Round solutions to three decimal places if necessary Compute the sum of these probabilities P x Compute the mean number of runs per inning using this probability distribution 0 1 2 3 0 05 4 0 03 Compute the standard deviation of this probability distribution