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lecture_05_f01

# lecture_05_f01 - Statistics 400 Lecture 5 Last class...

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Statistics 400 - Lecture 5

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Last class: Finished 4.1-4.4 and started 4.5 Today: Finish 4.5 and begin discrete random variables (5.1-5.5) Next Day: More discrete random variables (5.5-5.7) and begin  continuous R.V.’s (6.1-6.3) Assignment #2:  4.14, 4.24, 4.41, 4.61, 4.79, 5.13(a and c), 5.32,  5.68, 5.80  Due in class Tuesday, October 2
Independent Events Two events are independent if: The intuitive meaning is that the outcome of event B does not  impact the probability of any outcome of event A Alternate form: ) ( ) | ( A P B A P = ) ( ) ( ) and ( B P A P B A P =

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Example Flip a coin two times S = A ={head observed on first toss} B ={head observed on second toss} Are  A  and  B  independent?
Example Mendel used garden peas in experiments that showed inheritance  occurs randomly Seed color can be green or yellow  {G,G}=Green otherwise pea is yellow Suppose each parent carries both the G and Y genes ={Male contributes G};  ={Female contributes G} Are  M  and  F   independent?

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Example (Randomized Response Model) Can design survey using conditional probability to help get honest  answer for sensitive questions Want to estimate the probability someone cheats on taxes
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lecture_05_f01 - Statistics 400 Lecture 5 Last class...

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