Probability Topics: Practice II
1.7
2008/05/29 10:15:26 GMT-5
2008/08/15 14:30:33.168 GMT-5
Barbara
Illowsky
illowskybarbara@deanza.edu
Susan
Dean
deansusan@deanza.edu
Connexions
cnx@cnx.org
elementary
exclusive
independent
mutually
practice
probability
statistics
This module allows students to practice using what they've learned about Probability. Students will apply their understanding of basic probability terms, calculate probabilities based on the data provided, and determine whether events are independent or mutually exclusive.
Student Learning Objectives
- Students will define basic probability terms.
- Students will practice calculating probabilities.
- Students will differentiate between independent and mutually exclusive events.
Use probability rules to solve the problems below. Show your work.Given
68% of Californians support the death penalty. A majority of all racial groups in California support the death penalty, except for black Californians, of whom 45% support the death penalty (Source: San Jose Mercury News, 12/2005). 6% of all Californians are black (Source: U.S. Census Bureau).
In this problem, let:
- C = Californians supporting the death penalty
- B = Black Californians
Suppose that one Californian is randomly selected.Analyze the Data
P
(
C
)
=
0.68
P
(
B
)
=
0.06
P
(
C
|
B
)
=
0.45
In words, what is "
C
|
B
"?
P
(
B
AND
C
)
=
0.027
In words, what is “B and C”?
Are B and C independent events? Show why or why not.
No
P
(
B
OR
C
)
=
0.713
In words, what is “B or C”?
Are B and C mutually exclusive events? Show why or why not.
No