2020 概率论与统计学(厦门大学) 最新满分章节测试答案

本答案对应课程为:点我自动跳转查看
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：