# Mathematical statistics of runs - Baseball. Olympic Games

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

Quantity of matches (sample size) : 48, period of time : 08-13-2008 - 08-07-2021

### Match total - runs

Average per match E = 8.88, variance V = 21.43, SD = 4.63, E/V = 0.41, Min = 1, Max = 18

P1 = 68.8%, draw = 0.0%, P2 = 31.3%, total 0 = 0.0%, over 2.5 = 87.5%, under 2.5 = 12.5%

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=6.27, p=0.41

### Home team runs

Average per match E = 5.38, variance V = 11.60, SD = 3.41, E/V = 0.46, Min = 1, Max = 17

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=4.64, p=0.46

### Away team runs

Average per match E = 3.50, variance V = 11.19, SD = 3.35, E/V = 0.31, Min = 0, Max = 12

Basic random variable ~ Negative Binomial (Pascal) distribution: NB(r, p), r=1.59, p=0.31

### Runs difference

Average per match E = 1.88, variance V = 24.15, SD = 4.91, E/V = 0.08, Min = -10, Max = 16

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