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Section 6.2.2 Probability Models

Section 6.2.2 Probability Models. AP Statistics November 25, 2009 Berkley High School todd1@toddfadoir.com. Notation. Probability Rules: Rule 1. Probability Rules: Rule 2. Probability Rules: Rule 3. Probability Rules: Rule 4 . Probability Rules: Rule 4 (Different Notation) . Example.

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Section 6.2.2 Probability Models

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  1. Section 6.2.2Probability Models AP Statistics November 25, 2009 Berkley High School todd1@toddfadoir.com

  2. Notation AP Statistics, Section 6.2, Part 2

  3. Probability Rules: Rule 1 AP Statistics, Section 6.2, Part 2

  4. Probability Rules: Rule 2 AP Statistics, Section 6.2, Part 2

  5. Probability Rules: Rule 3 AP Statistics, Section 6.2, Part 2

  6. Probability Rules: Rule 4 AP Statistics, Section 6.2, Part 2

  7. Probability Rules: Rule 4 (Different Notation) AP Statistics, Section 6.2, Part 2

  8. Example • What is P(Married)? • P(Married)=.622 AP Statistics, Section 6.2, Part 2

  9. Example • What is P(not Married)? • P(not Married)= 1-.622=.378 (Complement Rule) AP Statistics, Section 6.2, Part 2

  10. Example • What is P(Never married or Divorced)? • Since “Never married and Divorced are disjoint, P(Never married or Divorced)= .298+.075=.373 (Addition Rule for disjoint events) AP Statistics, Section 6.2, Part 2

  11. Probabilities in a finite space • Assign a probability to each individual outcome. These probabilities must be numbers between 0 and 1 and must have sum of 1. • The probabilities of any event is the sum of the probabilities of the outcomes making up the event. AP Statistics, Section 6.2, Part 2

  12. Benford’s Law • Benford’s Law is the distribution of first digits in tax records, payment records, invoices, etc. • This distribution is handy in spotting illegitimate records. AP Statistics, Section 6.2, Part 2

  13. Example AP Statistics, Section 6.2, Part 2

  14. Example AP Statistics, Section 6.2, Part 2

  15. Example AP Statistics, Section 6.2, Part 2

  16. Equally Likely Outcomes AP Statistics, Section 6.2, Part 2

  17. Assignment • Exercises: 6.19-6.23 AP Statistics, Section 6.2, Part 2

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