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Test 1 cheat sheet

Test 1 cheat sheet - c = P(A does not occur – Called the...

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Population mean Sample mean Sample variance The Empirical Rule states: If the histogram is bell shaped we can conclude 1. Approximately 68% of all observations fall within one standard deviation of the mean . 2. Approximately 95% of all observations fall within two standard deviations of the mean. 3. Approximately 99.7% of all observations fall within three standard deviations of the mean. Given 2 defined events A and B: P(A or B) = P(A B) = P(A occurs or B occurs or both) Called a union P(A and B) = P(A B) = P(A and B both occur) Called an intersection The probability of the intersection is called the joint probability. P(Ā) = P(A’) = P(A

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Unformatted text preview: c ) = P(A does not occur) – Called the complement of A • P(A|B) = P(A occurs given that B has already occurred) Called a conditional probability 1 N i i x N μ = = 1 n i i x x n = = 2 2 1 ( ) 1 n i i x x s n =-=-• Complement Rule P(A) + P(A c ) = 1 P(A) = 1 – P(A c ) • Addition Rule: P(A ∪ B) = P(A) + P(B) – P(A ∩ B) If A and B are mutually exclusive, then P(A ∩ B) = 0. So P(A ∪ B) = P(A) + P(B) for two mutually exclusive events. • Conditional Probability: • Multiplication Rule: P(A ∩ B) = P(A)*P(B|A) = P(B)*P(A|B) If A and B are independent events, then P(A ∩ B) = P(A)*P(B)...
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Test 1 cheat sheet - c = P(A does not occur – Called the...

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