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Section 6.2.3 Probability Models

Section 6.2.3 Probability Models. AP Statistics toddfadoir.com/apstats. Definition of Independence. Two events A and B are independent if knowing that one occurs does not change the probability of that the other occurs. If A and B are independent,

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Section 6.2.3 Probability Models

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  1. Section 6.2.3Probability Models AP Statistics toddfadoir.com/apstats

  2. Definition of Independence Two events A and B are independent if knowing that one occurs does not change the probability of that the other occurs. If A and B are independent, This is the multiplication rule for independent events AP Statistics, Section 6.2, Part 3

  3. Example of Independent Events • First coin flip, second coin flip • Rolling of two dice • Choosing two cards with replacement AP Statistics, Section 6.2, Part 3

  4. Example of Not Independent Events • Choosing two cards without replacement • Scoring above 600 on verbal SAT, scoring 600 on math SAT AP Statistics, Section 6.2, Part 3

  5. Independent and complements • If A and B are independent, then so are… • Ac and Bc • A and Bc • Ac and B AP Statistics, Section 6.2, Part 3

  6. Are these events independent? • A={person is left-handed} • B={person is an only child} • C={person is blue eyed} AP Statistics, Section 6.2, Part 3

  7. Are these events independent? • A={person is college graduate} • B={person is older than 25} • C={person is a bank president} AP Statistics, Section 6.2, Part 3

  8. Traffic light example • Suppose the timing of the lights on morning commute are independent. • The probability of being stopped at any light is .6. • P(getting through all 6 lights) • .46=.004096 • P(getting stopped at all the lights) • .66=.046656 AP Statistics, Section 6.2, Part 3

  9. Assignment • Exercises: 6.27-6.33 all, 6.35-6.45 odd AP Statistics, Section 6.2, Part 3

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