Exam 4 Review
MTH 110 Exam 4 Review
1. (6.2 57)
In a survey of 100 Enormous State University students, 21 enjoyed classical music, 22 enjoy rock music, and 27 enjoyed house music. Five of the students enjoy both classical and rock. How many of those that enjoyed rock did not enjoy classical music?
2. (6.3 3)
An experiment requires sequence of 3 steps. The first step can result in 2 possible outcomes, the second in 3 possible outcomes, and the third in 5 possible outcomes. What is the total number of outcomes possible?
3. (6.4 23)
How many three-letter sequences are possible that use the letters q, u, a, k, e, s at most one each? 4. (7.2 19)
Outcome
1
2
3
4
5
Rel. Frequency .2
.3
.1
.1
Complete the given frequency distribution and compute the stated relative frequencies.
a. ?({1, 3, 5})
b. ?(? ′ ) where ? = {1, 2, 3}
5. (7.3 31, 37)
Use the given information to find the indicated probability.
a. ?(?⋃?) = 0.9, ?(?) = 0.6, ?(?⋂?) = 0.1 Find ?(?).
b. ? and ? are mutually exclusive. ?(?) = 0.3, ?(?) = 0.4, Find ?((?⋃?)′).
6. (7.4 17)
A set has three parts. Part A consists of four true-false questions, part B consists of four multiple choice questions with five choices each and part C requires you to match five questions with six different answers one-to-one. Assuming that you make random choices in filling out your answer sheet, what is the probability that you will earn 100% on the test?
7. (7.5 49)
According to a new York Times/CBS poll released in March 2005, 79% agrees that it should be the government’s responsibility to provide a decent standard of living for the elderly, and 43% agreed that it would be a good idea to invest part of their social security taxes on their own. If agreement with one of these propositions is independent of agreement with the other, what is the probability that a person agreed with both propositions?
8. (7.5 61, 62)
The following table shows the result of a survey of 100 authors by a publishing company.
New Authors
Established Authors
Total
1. (6.2 57)
In a survey of 100 Enormous State University students, 21 enjoyed classical music, 22 enjoy rock music, and 27 enjoyed house music. Five of the students enjoy both classical and rock. How many of those that enjoyed rock did not enjoy classical music?
2. (6.3 3)
An experiment requires sequence of 3 steps. The first step can result in 2 possible outcomes, the second in 3 possible outcomes, and the third in 5 possible outcomes. What is the total number of outcomes possible?
3. (6.4 23)
How many three-letter sequences are possible that use the letters q, u, a, k, e, s at most one each? 4. (7.2 19)
Outcome
1
2
3
4
5
Rel. Frequency .2
.3
.1
.1
Complete the given frequency distribution and compute the stated relative frequencies.
a. ?({1, 3, 5})
b. ?(? ′ ) where ? = {1, 2, 3}
5. (7.3 31, 37)
Use the given information to find the indicated probability.
a. ?(?⋃?) = 0.9, ?(?) = 0.6, ?(?⋂?) = 0.1 Find ?(?).
b. ? and ? are mutually exclusive. ?(?) = 0.3, ?(?) = 0.4, Find ?((?⋃?)′).
6. (7.4 17)
A set has three parts. Part A consists of four true-false questions, part B consists of four multiple choice questions with five choices each and part C requires you to match five questions with six different answers one-to-one. Assuming that you make random choices in filling out your answer sheet, what is the probability that you will earn 100% on the test?
7. (7.5 49)
According to a new York Times/CBS poll released in March 2005, 79% agrees that it should be the government’s responsibility to provide a decent standard of living for the elderly, and 43% agreed that it would be a good idea to invest part of their social security taxes on their own. If agreement with one of these propositions is independent of agreement with the other, what is the probability that a person agreed with both propositions?
8. (7.5 61, 62)
The following table shows the result of a survey of 100 authors by a publishing company.
New Authors
Established Authors
Total