# Mathematical statistics of runs - Baseball. WBC

## Graphs of sample (in blue) and basic random variables (probability density)

Quantity of matches (sample size) : 171, period of time : 03-05-2009 - 03-21-2023

### Match total - runs

Average per match E = 10.02, variance V = 26.66, SD = 5.16, E/V = 0.38, Min = 1, Max = 26

P1 = 58.5%, draw = 0.0%, P2 = 41.5%, total 0 = 0.0%, over 2.5 = 97.7%, under 2.5 = 2.3%

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=6.03, p=0.38

### Home team runs

Average per match E = 5.51, variance V = 14.89, SD = 3.86, E/V = 0.37, Min = 0, Max = 18

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=3.24, p=0.37

### Away team runs

Average per match E = 4.50, variance V = 16.72, SD = 4.09, E/V = 0.27, Min = 0, Max = 22

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=1.66, p=0.27

### Runs difference

Average per match E = 1.01, variance V = 36.55, SD = 6.05, E/V = 0.03, Min = -20, Max = 15

Basic random variable ~ Normal (Gauss) distribution: N(E, V)