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Probability 4.1

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Probability Distributions Chapter 4.1
Objectives ,[object Object],[object Object],[object Object],[object Object]
Discrete & Continuous ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Random Variables ,[object Object],[object Object],[object Object]
Discrete or Continuous? ,[object Object]
Discrete or Continuous? ,[object Object]
Discrete or Continuous? ,[object Object]
Discrete Probability Distributions ,[object Object],[object Object],[object Object],[object Object]
Example – Roll 2 dice:
Constructing a Discrete Probability Distribution ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example ,[object Object],[object Object],Dependent Children Number of Households 0 14 1 40 2 76 3 44 4 26
Example ,[object Object],[object Object],[object Object],Dependent Children Number of Households Percentage 0 14 7% 1 40 20% 2 76 38% 3 44 22% 4 26 13%
Example ,[object Object],Dependent Children Number of Households Percentage 0 14 7% 1 40 20% 2 76 38% 3 44 22% 4 26 13%
Mean ,[object Object],Dependent Children Number of Households Percentage 0 14 7% 1 40 20% 2 76 38% 3 44 22% 4 26 13%
Mean ,[object Object],Dependent Children Number of Households Percentage x(P(x) 0 14 7% 0*.07 0 1 40 20% 1*.20 .20 2 76 38% 2*.38 .76 3 44 22% 3*.22 .66 4 26 13% 4*.13 .52 Total 200 100% 2.14
Mean ,[object Object],[object Object],[object Object]
How would you find the variance & standard deviation? Dependent Children Number of Households Percentage 0 14 7% 1 40 20% 2 76 38% 3 44 22% 4 26 13%
How would you find the variance & standard deviation? ,[object Object],Dependent Children Number of Households Percentage x - μ (x – μ )2 0 14 7% -2.14 4.5796 1 40 20% -1.14 1.2996 2 76 38% -.14 .0196 3 44 22% .86 .7396 4 26 13% 1.86 3.4596 Total 200 100% 10.098
Mean, Variance, & Standard Deviation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Expected Value ,[object Object]
Expected Value Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Expected Value Example ,[object Object],[object Object],[object Object]
Homework ,[object Object],[object Object]

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