d.
Are the outcomes of the games independent? Explain and substantiate your answer.
ANS:
a.
0.55
b.
0.8335
c.
0.3465

2
CH4Ex
d.
Yes, the probability of defeating Furman (0.55) is equal to the probability of defeating Furman
given that they have defeated Marshall (0.55).
49.
Records of a company show that 20% of the employees have only a high school diploma; 70%
have bachelor degrees; and 10% have graduate degrees. Of those with only a high school diploma,
10% hold management positions; whereas, of those having bachelor degrees, 40% hold
management positions. Finally, 80% of the employees who have graduate degrees hold
management positions.
a.
What percentage of employees holds management positions?
b.
Given that a person holds a management position, what is the probability that she/he has a
graduate degree?
ANS:
a.
38%
b.
0.2105
4.13
According to Nielsen Media Research, approximately 67% of all U.S. households with
television have cable TV. Seventy-four percent of all U.S. households with television have two or
more TV sets. Suppose 55% of all U.S. households with television have cable TV and two or more
TV sets. A U.S. household with television is randomly selected.
a.
What is the probability that the household has cable TV or two or more TV sets?
b.
What is the probability that the household has cable TV or two or more TV sets
but not both?
c.
What is the probability that the household has neither cable TV nor two or more
TV sets?

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- Fall '08
- SELLS
- Probability, Academic degree, Bachelor's degree, Furman