This table 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.) x P(x)
0 0.74
1 0.12
2 0.09
3 0.03
4 0.02Round all answers to 2 decimal places.
Compute the sum of these probabilities:

Compute the mean number of runs/inning, using this probability distribution:

Compute the standard deviation of this probability distribution: