IOE316w10_week1

# IOE316w10_week1 - IOE316W10Week1 Mar12 2010 Sample Space Event and Probabilities .AneventEis 1 IOE316W10Week1 Example1

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IOE 316 W10 Week 1 A sample space “S” is the set of all possible  outcomes of an experiment.  An event “E” is  any subset of the sample space. 1 Sample Space, Event and Probabilities Mar 12,  2010

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IOE 316 W10 Week 1 2 Sample space: { N, R} Event: {N}, {R}, {N,R} or Ø Example 1:  If we observe a single day’s weather condition,  assume it would be either Raining (R) or Not- raining (N), what is the sample space?  What  are the events?
IOE 316 W10 Week 1 3 Example 2:  If we observe two consecutive days weather,  what is the sample space? Suppose it is equally likely to be Raining (R) or  Not-raining (N) on a single day.  What is the  probability that the first day is Raining and the  second day is Not-raining?

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IOE 316 W10 Week 1 4 Sample space: {(N,N), (N,R), (R,N), (R,R)} Pr{(R,N)} = ¼
5 Conditional Probability Denote the probability of event A occurs given  that you know event B occurs. P(A|B) = P(A B)/P(B)

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## This note was uploaded on 03/17/2010 for the course IOE 316 taught by Professor Dolinskaya during the Winter '08 term at University of Michigan.

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IOE316w10_week1 - IOE316W10Week1 Mar12 2010 Sample Space Event and Probabilities .AneventEis 1 IOE316W10Week1 Example1

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