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# stat400lec6 - Statistics 400 Lecture 6(Sep 6 Section 2.4...

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Statistics 400 Lecture 6 (Sep 6) Section 2.4 Independence Events Independence: Definition: Outcome of one event has on effect on the outcome of another event Tossing a coin twice Definition: Event A and event B are independent if P(A B)=P(A and B) = P (A) * P (B) Comparison: (A) disjoint (mutually exclusive) events and independent events (B) If A B, Can A and B are independent? Example: Ping Ma Lecture 6 Fall 2005 - 1 -

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Let P(A)=0.4 and P(B)=0.5, compute that (A) P(A v B) when A and B are independent (B) P(A|B) when A and B are disjoint A red die and a white die are rolled. Let event A= {4 on the red die} and event B= {sum of dice is odd}. Are A and B independent? A red die and a white die are rolled. Let event C= {5 on the red die} and event D= {sum of dice is 11}. Are C and D independent? To test if an event is independent or not: Ping Ma Lecture 6 Fall 2005 - 2 -
Example: You are wondering whether the events A: have breast cancer and B: has not had a mammogram are independent events. The following data is presented to you.

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stat400lec6 - Statistics 400 Lecture 6(Sep 6 Section 2.4...

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