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Unformatted text preview: Statistics 400 Formula Sheet Sample Mean: n x x i = Sample Variance: 1 ) ( 2 2- - = n x x s i 5-Number Summary: Minimum Q 1 Median Q 3 Maximum Interquartile Range: IQR=Q 3-Q 1 Probability: For any event A , 1 ) ( A P If S is the sample space, 1 ) ( = S P Complement Rule: ) ( 1 ) ( A P A P- = Addition Rule: ) ( ) ( ) ( ) ( B A P B P A P B A P - + = Multiplication Rule for Independent Events: ) ( ) ( ) and ( B P A P B A P = Conditional Probability: ) ( ) and ( ) | ( B P B A P B A P = If A and B are independent events, P(A|B)=P(A) Discrete Random Variables: = = ) ( ) ( i i x f x X E 2 2 2 2 )) ( ( ) ( ) ( - = - = i i i i x f x x f x Binomial Distribution: x n x p p x n x f-- = ) 1 ( ) ( for x = 0,1, 2, , n npq np x = = x ; Recall, )! ( ! ! x n x n x n- = Z-Transformation: - = x Z Inference for the Population Mean: Sample Size for a desired Margin of Error,...
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