Question

Determine if the distribution represents a probability distribution. Then find Mean, Variance, and Standard Deviation. X 7 8 9 10 11 P(x) 0.3 0.5 0.1 0.08 0.02

Answer #1

Solution:

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

7 | 0.3 | 2.1 | 14.7 |

8 | 0.5 | 4 | 32 |

9 | 0.1 | 0.9 | 8.1 |

10 | 0.08 | 0.8 | 8 |

11 | 0.02 | 0.22 | 2.42 |

Sum | 1 | 8.02 | 65.22 |

Mean = X * P(X)

= **8.02**

Variance

= X 2 * P(X) - 2

= 65.22 - (8.02)2 = **0.8996**

Standard deviation =
= **0.9484**

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?
P(?)
?P (?)
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2
0.3
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QUESTION 2
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