Section 6.2.2 Probability Models

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Section 6.2.2 Probability Models. AP Statistics November 25, 2009 Berkley High School [email protected] 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 6.2.2Probability Models

AP Statistics

November 25, 2009

Berkley High School

[email protected]

Notation

AP Statistics, Section 6.2, Part 2

Probability Rules: Rule 1

AP Statistics, Section 6.2, Part 2

Probability Rules: Rule 2

AP Statistics, Section 6.2, Part 2

Probability Rules: Rule 3

AP Statistics, Section 6.2, Part 2

Probability Rules: Rule 4

AP Statistics, Section 6.2, Part 2

Probability Rules: Rule 4 (Different Notation)

AP Statistics, Section 6.2, Part 2

Example
• What is P(Married)?
• P(Married)=.622

AP Statistics, Section 6.2, Part 2

Example
• What is P(not Married)?
• P(not Married)= 1-.622=.378 (Complement Rule)

AP Statistics, Section 6.2, Part 2

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

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

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

Example

AP Statistics, Section 6.2, Part 2

Example

AP Statistics, Section 6.2, Part 2

Example

AP Statistics, Section 6.2, Part 2

Equally Likely Outcomes

AP Statistics, Section 6.2, Part 2

Assignment
• Exercises: 6.19-6.23

AP Statistics, Section 6.2, Part 2