Question

Determine if the distribution represents a probability distribution. Then find Mean, Variance, and Standard Deviation. X 6 8 10 12 14 P(x) .25 .10 .30 .10 .25

Answer #1

Solution:

x | P(x) | x * P(x) | x2 * P(x) |

6 | 0.25 | 1.5 | 9 |

8 | 0.1 | 0.8 | 6.4 |

10 | 0.3 | 3 | 30 |

12 | 0.1 | 1.2 | 14.4 |

14 | 0.25 | 3.5 | 49 |

Sum | 1 | 10 | 108.8 |

Mean = X * P(X)

= **10**

Standard deviation =

= X 2 * P(X) - 2

= 108.8 - (10)2 = **8.8**

Standard deviation =
= **2.9665**

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