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500 câu trắc nghiệm Kinh tế lượng – 4C

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 4C bao gồm:

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response.
1) Identify each of the variables in the Binomial Probability Formula.

\(P(x) = \frac{{n!}}{{(n – x)!x!}}{p^x}{q^{n – x}}\)

Also, explain what the fraction \(\frac{{n!}}{{(n – x)!x!}}\) computes.

n is the fixed number of trials, x is the number of successes, p is the probability of success in one of the n trials, and q is the probability of failure in one of the n trials. The fraction determines the number of different arrangements of x successes out of n trials.

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 number of freshmen in the required course, English 101
● Discrete
○ Continuous

3) The pH level in a shampoo
○ 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)

x P(x)
0 0.309
1 0.232
2 -0.092
3 0.245
4 0.153
5 0.153

Not a probability distribution. One of the P(x)’s is negative.

5) A police department reports that the probabilities that 0, 1, 2, 3, and 4 car thefts will be reported in a given day are 0.091, 0.218, 0.261, 0.209, and 0.125, respectively.

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

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the mean of the given probability distribution.
6) The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.6274, 0.3102, 0.0575, 0.0047, and 0.0001, respectively. Round answer to the nearest hundredth.
○ 0.34
○ 2.00
○ 1.07
● 0.44

Solve the problem.
7) In a certain town, 70% 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. Find the standard deviation for the probability distribution.

x P(x)
0 0.0081
1 0.0756
2 0.2646
3 0.4116
4 0.2401

○ 1.06
○ 2.95
● 0.92
○ 0.84

8) The accompanying table shows the probability distribution for x, the number that shows up when a loaded die is rolled. Find the variance for the probability distribution.

x P(x)
1 0.23
2 0.10
3 0.10
4 0.24
5 0.11
6 0.22

○ 12.48
● 3.37
○ 16.04
○ 3.15

9) A 28-year-old man pays $158 for a one-year life insurance policy with coverage of $110,000. If the probability that he will live through the year is 0.9994, what is the expected value for the insurance policy?
○ $66.00
● -$92.00
○ $109,934.00
○ -$157.91

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

x(girls) P(x) x(girls) P(x) x(girls) P(x)
0 0.000 5 0.122 10 0.061
1 0.001 6 0.183 11 0.022
2 0.006 7 0.209 12 0.006
3 0.022 8 0.183 13 0.001
4 0.061 9 0.122 14 0.000

10) Find the probability of selecting 12 or more girls.
● 0.007
○ 0.001
○ 0.006
○ 0.022