section 6.3.1 probability models ap statistics. ap statistics, section 6.3, part 12 venn diagrams:...
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AP Statistics, Section 6.3, Part 13 Venn Diagrams: Disjoint Events A B STRANSCRIPT
Section 6.3.1Probability Models
AP Statistics
AP Statistics, Section 6.3, Part 1 2
Venn Diagrams: Disjoint Events
AB
S
AP Statistics, Section 6.3, Part 1 3
Venn Diagrams: Disjoint Events
AB
S
( or ) ( ) ( )P A B P A P B
AP Statistics, Section 6.3, Part 1 4
Venn Diagrams: Non-disjoint Events
A
B
S
( or ) ( ) ( ) ( and )P A B P A P B P A B
A and B
AP Statistics, Section 6.3, Part 1 5
Venn Diagrams: Disjoint Events
A
B
S
( ) ( ) ( ) ( )P A B P A P B P A B
A and B
AP Statistics, Section 6.3, Part 1 6
Example
Deborah and Matthew are awaiting the decision about a promotion. Deborah guesses her probability of her getting a promotion at .7 and Matthew’s probability at .5.
AP Statistics, Section 6.3, Part 1 7
Example Deborah and Matthew
are awaiting the decision about a promotion. Deborah guesses her probability of her getting a promotion at .7 and Matthew’s probability at .5.
D M
.5.7
AP Statistics, Section 6.3, Part 1 8
Example
Since there is not enough information to do the problem, let’s add information. Deborah thinks the probability of both getting promoted is .3
D M
.5.7
D and M
.3
AP Statistics, Section 6.3, Part 1 9
Example
What’s the probability of only Deborah getting promoted P(D-M)?
P(M-D)? P(Dc)? P(Mc)? P(Dc and Mc)?
D M
.5.7
D and M
.3
AP Statistics, Section 6.3, Part 1 10
Different Look
Matthew
Promoted Not Promoted Total
DeborahPromoted .3 .7
Not Promoted
Total .5
AP Statistics, Section 6.3, Part 1 11
Different Look
Matthew
Promoted Not Promoted Total
DeborahPromoted .3 .7
Not Promoted
Total .5 1.0
AP Statistics, Section 6.3, Part 1 12
Different Look
Matthew
Promoted Not Promoted Total
DeborahPromoted .3 .4 .7
Not Promoted .2
Total .5 1.0
AP Statistics, Section 6.3, Part 1 13
Different Look
Matthew
Promoted Not Promoted Total
DeborahPromoted .3 .4 .7
Not Promoted .2 .3
Total .5 .5 1.0
AP Statistics, Section 6.3, Part 1 14
Different Look
Matthew
Promoted Not Promoted Total
DeborahPromoted .3 .4 .7
Not Promoted .2 .1 .3
Total .5 .5 1.0
AP Statistics, Section 6.3, Part 1 15
Assignment
Exercises: 6.46-6.53, all