500 câu trắc nghiệm Kinh tế lượng – 4B

Tổng hợp 500 câu trắc nghiệm + tự luận Kinh tế lượng (Elementary Statistics). Tất cả các câu hỏi trắc nghiệm + tự luận đều có đáp án. Nội dung được khái quát trong 13 phần, mỗi phần gồm 3 bài kiểm tra (A, B, C). Các câu hỏi trắc nghiệm + tự luận bám rất sát chương trình kinh tế lượng, đặc biệt là phần thống kê, rất phù hợp cho các bạn củng cố và mở rộng các kiến thức về Kinh tế lượng. Các câu hỏi trắc nghiệm + tự luận của phần 4B bao gồm:

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response.
1) List the four requirements for a binomial distribution. Describe an experiment which is binomial and discuss how the experiment fits each of the four requirements.

The four requirements are:
1) The experiment must have a fixed number of trials.
2) The trials must be independent.
3) Each trial must have all outcomes classified into two categories.
4) The probabilities must remain constant for each trial. Answers will vary for the experiment.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Identify the given random variable as being discrete or continuous.
2) The braking time of a car
○ Discrete
● Continuous

3) The number of phone calls between New York and California on Thanksgiving day
● Discrete
○ Continuous

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
4) If a person is randomly selected from a certain town, the probability distribution for the number, x, of siblings is as described in the accompanying table.

Not a probability distribution. The sum of the P(x)’s is not 1.

5)

Probability distribution.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
6) Choosing 5 people (without replacement) from a group of 37 people, of which 15 are women, keeping track of the number of men chosen.
○ Procedure results in a binomial distribution.
○ Not binomial: there are too many trials.
○ Not binomial: there are more than two outcomes for each trial.
● Not binomial: the trials are not independent.

Find the mean of the given probability distribution.
7) In a certain town, 40% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree.

○ 1.50
○ 1.73
● 1.60
○ 2.00

Solve the problem.
8) Find the variance for the given probability distribution.

○ 5.82
○ 2.21
● 1.98
○ 2.14

9) A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.50, 0.41, 0.05, and 0.04, respectively. Find the standard deviation for the probability distribution. Round answer to the nearest hundredth.
● 0.76
○ 0.98
○ 1.04
○ 0.57

10) Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500. What is your expected value?
● -$0.50
○ $0.00
○ -$0.40
○ -$1.00

Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table.

Probabilities of Girls