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s_m4_handouts - Rev. F07 STA 2023 Module 4 Probability...

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Rev. F07 http://faculty.valenciacc.edu/ashaw/ 1 Rev.F08 1 STA 2023 Module 4 Probability Concepts Rev.F08 2 Learning Objectives Upon completing this module, you should be able to: 1. Compute probabilities for experiments having equally likely outcomes. 2. Interpret probabilities, using the frequentist interpretation of probability. 3. State and understand the basic properties of probability. 4. Construct and interpret Venn diagrams. 5. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. Rev.F08 3 Learning Objectives (cont.) 6. Determine whether two or more events are mutually exclusive. 7. Understand and use probability notation. 8. State and apply the special addition rule. 9. State and apply the complementation rule. 10. State and apply the general addition rule. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules.
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Rev. F07 http://faculty.valenciacc.edu/ashaw/ 2 Rev.F08 4 What is a Random Phenomena? A random phenomenon is a situation in which we know what outcomes could happen, but we don’t know which particular outcome did or will happen. ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. Rev.F08 5 What is a Sample Space? In general, each occasion upon which we observe a random phenomenon is called a trial . At each trial, we note the value of the random phenomenon, and call it an outcome . When we combine outcomes, the resulting combination is an event . The collection of all possible outcomes is called the sample space . ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. Rev.F08 6 Sample Space and Event ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. The probability of an event reports the likelihood of the event’s occurrence.
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Rev. F07 http://faculty.valenciacc.edu/ashaw/ 3 Rev.F08 7 Possible Outcomes for Rolling a Pair of Dice ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. Rev.F08 8 Probability Notation ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. Remember, each occasion upon which we observe a random phenomenon is called a trial . At each trial, we note the value of the random phenomenon, and call it an outcome . When we combine outcomes, the resulting combination is an event . The collection of all possible outcomes is called the sample space . If E is an event, then P ( E ) represents the probability that event E occurs . It is read “ the probability of E .” Rev.F08 9 Probability of an Event ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. In this case, we can represent the probability of an event as P ( E ) = f / N .
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Rev. F07 http://faculty.valenciacc.edu/ashaw/ 4 Rev.F08 10 Basic Properties of Probabilities ht p:/ faculty. valenciacc . edu/ashaw/ Click link to download other modules. Again, the probability of an event reports the likelihood of
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s_m4_handouts - Rev. F07 STA 2023 Module 4 Probability...

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