2020 概率论与统计学(厦门大学) 最新满分章节测试答案
- Introduction to Statistics and Econometrics Quiz1
- Foundation of Probability Theory Quiz2
- Random Variables and Univariate Probability Distributions Quiz 3
- Important Probability Distributions Quiz 4
- Multivariate Probability Distributions Quiz 5
- Introduction to Statistic Quiz 6
- Chapter 7 Quiz 7
- Chapter 8 Quiz 8
- Chaper 9 Quiz 9
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本课程起止时间为:2020-09-14到2020-12-30
Introduction to Statistics and Econometrics Quiz1
1、 问题:A total of 26 percent of American males smoke cigarettes, 8 percent smoke cigars, and 4 percent smoke both cigars and cigarettes. What percentage of males smokes neither cigars nor cigarettes?
选项:
A:50 percent
B:60 percent
C:70 percent
D:80 percent
答案: 【70 percent】
2、 问题:A total of 26 percent of American males smoke cigarettes, 8 percent smoke cigars, and 4 percent smoke both cigars and cigarettes. What percentage of males smokes cigars but not cigarettes?
选项:
A:1 percent
B:2 percent
C:3 percent
D:4 percent
答案: 【4 percent】
3、 问题:Consider two events and such that and . Determine the value of if and are mutually exclusive.
选项:
A:0.2
B:0.4
C:0.6
D:0.8
答案: 【0.8】
4、 问题:Consider two events and such that and . Determine the value of if is a subset of .
选项:
A:0.2
B:0.4
C:0.6
D:0.8
答案: 【0.6】
5、 问题:A committee of 3 is to be selected from a group of 2 men and 4 women. If the selection is made randomly, what is the probability that the committee consists of 1 man and 2 women?
选项:
A:0.4
B:0.6
C:0.3
D:0.2
答案: 【0.6】
6、 问题:A committee of 3 is to be selected from a group of 2 men and 4 women. If the selection is made randomly, what is the probability that the committee consists of 2 men and 1 woman?
选项:
A:0.4
B:0.6
C:0.3
D:0.2
答案: 【0.2】
7、 问题:Suppose that of men and of women are color-blind. A person is chosen at random and that person is color-blind. What is the probability that the person is a male? (Assume males females to be in equal numbers.)
选项:
A:
B:
C:
D:
答案: 【】
8、 问题:Suppose that of men and of women are color-blind. A person is chosen at random and that person is color-blind. What is the probability that the person is a female? (Assume males females to be in equal numbers.)
选项:
A:
B:
C:
D:
答案: 【】
9、 问题:An insurance company believes that people can be divided into two classes: those who are accident prone and those who are not. The company’s statistics show that an accident-prone person will have an accident at some time within a fixed 1-year period with probability 0.3, whereas this probability decreases to 0.1 for a person who is not accident prone. If we assume that 20 percent of the population is accident prone, what is the probability that a new policyholder will have an accident within a year of purchasing a policy?
选项:
A:0.10
B:0.12
C:0.14
D:0.16
答案: 【0.14】
10、 问题:An insurance company believes that people can be divided into two classes: those who are accident prone and those who are not. The company’s statistics show that an accident-prone person will have an accident at some time within a fixed 1-year period with probability 0.3, whereas this probability decreases to 0.1 for a person who is not accident prone. We assume that 20 percent of the population is accident prone. Suppose that a new policyholder has an accident within a year of purchasing a policy. What is the probability that he or she is accident prone?
选项:
A:
B:
C:
D:
答案: 【】
11、 问题:If is an event with probability , then is an empty set.
选项:
A:正确
B:错误
答案: 【错误】
12、 问题:Suppose events and are mutually exclusive, then and are mutually exclusive as well.
选项:
A:正确
B:错误
答案: 【错误】
13、 问题:Suppose there are two events and . If , then .
选项:
A:正确
B:错误
答案: 【正确】
14、 问题:Suppose there are two events and . Then .
选项:
A:正确
B:错误
答案: 【正确】
15、 问题:Suppose there are two events and . If , then and can not be independent.
选项:
A:正确
B:错误
答案: 【错误】
16、 问题:Suppose there are two events and . If , then and can not be independent.
选项:
A:正确
B:错误
答案: 【错误】
17、 问题:Let and be two independent events. Then and are independent as well.
选项:
A:正确
B:错误
答案: 【正确】
18、 问题:Suppose there are two events and . If and , then .
选项:
A:正确
B:错误
答案: 【正确】
19、 问题:If is an event with probability , then is the sample space.
选项:
A:正确
B:错误
答案: 【错误】
20、 问题:Suppose there are three events , , and . If and are independent, and are independent, and and are independent, then , , and are jointly independent.
选项:
A:正确
B:错误
答案: 【错误】
Foundation of Probability Theory Quiz2
1、 问题:Suppose for and otherwise, what value of makes a well-defined PDF?
选项:
A:1
B:9
C:
D:
答案: 【】
2、 问题:Suppose and . Then the PDF of is
选项:
A:
B:
C:
D:
答案: 【】
3、 问题:Suppose ,
选项:
A:5
B:6
C:7
D:8
答案: 【7】
4、 问题:Suppose ,
选项:
A:
B:
C:
D:
答案: 【】
5、 问题:If the random variable has PDF , which of the following random variable has a uniform (0,1) distribution?
选项:
A:
B:
C:
D:
答案: 【】
6、 问题: is a random variable with PDF , thenthe median of is
选项:
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