A and B are mutually exclusive.
A and B are mutually exclusive.
A and B are independent.
A and B are independent.
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Chester Martin  (512) 923-1137
Probability:
Statistics_Rules_Probability_Conditional_Probability_A_given_B.
Statistics_Rules_Probability_Conditional_Probability_B_given_A.
Statistics_Rules_Probability_Definition_Independant_Events.
Statistics_Rules_Probability_Intersection_of_Events_Multiplication_Rule.
Statistics_Rules_Probability_Intersection_of_Events_Multiplication_Rule.
Statistics_Rules_Probability_Intersection_of_Mutually_Exclusive_Events.
Statistics_Rules_Probability_The_Compliment_of_an_Event.
Statistics_Rules_Probability_Definition_Union_of_Mutually_Exclusive_Events.
Statistics_Rules_Probability_Union_of_Two_Events_Addition_Rule.
Population Parameters:
Statistics_Rules_Population_Mean_Mu.
Statistics_Rules_Population_Standard_Deviation.
Statistics_Rules_Population_Variance.
Statistics_Rules_Population_Z_Score.
Sample Parameters:
Statistics_Rules_Sample_Mean_X_Bar.
Statistics_Rules_Sample_Standard_Deviation.
Statistics_Rules_Sample_Variance.
Statistics_Rules_Sample_Z_Score.
Discrete Random Variables:
Statistics_Rules_Discrete_Random_Variables_Mean_or_Expected_Value.
Statistics_Rules_Discrete_Random_Variables_Variance.
Statistics_Rules_Discrete_Random_Variables_Standard_Deviation.
Binomial Distributions:
Statistics_Rules_Binomials_Mean.
Statistics_Rules_Binomials_Variance.
Statistics_Rules_Binomials_Standard_Deviation.
Statistics_Rules_Binomials_Probability_of_a_Single_Event.
Statistics_Rules_Binomials_Compliment_of P.
Statistics_Rules_Binomials_Combination_Formula.
The Central Limit Theorem states that if a sample is sufficiently large (N>30) the sample will have an approximately normal (mound shaped) distribution.
Therefore:
Statistics_Rules_Central_Limit_Theorem_Mean_of_a_Sample.
Statistics_Rules_Central_Limit_Theorem_Standard_Deviation_of_a_Sample.
Statistics_Rules_Central_Limit_Theorem_Z_Score_of_a_Sample.
Chebyshev's Rule:
Statistics_Rules_Central_Limit_Theorem_Mean_Plus_or_Minus_One_Standard_Deviation.
provides no information on the fraction of data included within 1 Std. Dev.
Statistics_Rules_Central_Limit_Theorem_Mean_Plus_or_Minus_Two_Standard_Deviations.
at least 3/4 of the data will fall within 2 Std. Dev. of the mean.
Statistics_Rules_Central_Limit_Theorem_Mean_Plus_or_Minus_Three_Standard_Deviations.
at least 7/8 of the data will fall within 2 Std. Dev. of the mean.
Empirical Rule:
Statistics_Rules_Central_Limit_Theorem_Mean_Plus_or_Minus_One_Standard_Deviation.
will include approximately 68% of the data.
Statistics_Rules_Central_Limit_Theorem_Mean_Plus_or_Minus_Two_Standard_Deviations.
will include approximately 95% of the data.
Statistics_Rules_Central_Limit_Theorem_Mean_Plus_or_Minus_Three_Standard_Deviations.
will include approximately 99.7% of the data.
Statistics_Rules_Normal_Curve_68_95_997.