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Lecture

some basic probability concepts (2).docx

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Department
Statistics
Course
STATS 2B03
Professor
Aaron Childs
Semester
Fall

Description
September 19 , 2012 Stats 2B03: Statistical Methods for Science Some Basic Probability Concepts (2) 3.2-3.4 Probability - Example: P(person is left-handed or that their parents are both right handed) P(L or RR) = P(L) + (RR) – P(L and RR) =  Rule P5: if A and B are independent then P(A B)=P(A) x P(B) - Example: Suppose that each child has probability ⅕ of inheriting a certain disease. If a family of 2 children the probability that both children inherit the disease is: P(D and D) = P(DD) = P(D) x P(D) = ⅕ × ⅕ - How do you know when to add or multiply: or add, and multiply - Example: In a family of 4 children (a) P(none inherit the disease)=P(NNNN) P(N)×P(N)×P(N)×P(N)=⅘×⅘×⅘×⅘ (b)P(exactly 1 inherits the disease)=P(DNNN or NDNN or NNDN or NNND) P(DNNN)+P(NDNN)+P(NNDN)+P(NNND)=(⅕
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