Finding the Mean, Variance, and Standard Deviation In Exercise, (a) find the mean, variance, and standard deviation of the probability distribution, and (b) interpret the results.

Baseball The number of games played in the World Series from 1903 to 2012

Step 1 of 2

Given the number of games played in the World Series from 1903 to 2012.

Then the table is given below.

Games played |
Probability |

4 |
0.176 |

5 |
0.241 |

6 |
0.213 |

7 |
0.333 |

8 |
0.037 |

a). Here we have to find the mean, variance and standard deviation.

0.704+1.205+1.278+2.331+0.296

5.814

Therefore, the mean is 5.814.

Then the variance is

1.391

Then the standard deviation is the square root of the variance.

Therefore, the standard deviation is 1.1794.