Kinh tế lượngTrắc nghiệm

500 câu trắc nghiệm Kinh tế lượng – 3A

11) In one town, 70% of adults have health insurance. What is the probability that 6 adults selected at random from the town all have health insurance?
○ 0.086
○ 4.2
● 0.118
○ 0.7

12) A IRS auditor randomly selects 3 tax returns from 49 returns of which 9 contain errors. What is the probability that she selects none of those containing errors?
○ 0.0046
● 0.5363
○ 0.0062
○ 0.544

Provide a written description of the complement of the given event.
13) When several textbooks are returned from editing, none of the books are found to be errorless.
● At least one of the textbooks is errorless.
○ None of the textbooks are errorless.
○ All of the textbooks are errorless.

Find the indicated probability.
14) A study conducted at a certain college shows that 64% of the school’s graduates find a job in their
chosen field within a year after graduation. Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
○ 0.167
○ 0.931
○ 0.640
● 0.998

15) The table below shows the soft drinks preferences of people in three age groups.

cola root beer lemon-lime
under 21 years of age 40 25 20
between 21 and 40 35 20 30
over 40 years of age 20 30 35

If one of the 255 subjects is randomly selected, find the probability that the person is over 40
years of age.
○ 1/2
● 1/3
○ 2/5
○ 3/5
16) The following table contains data from a study of two airlines which fly to Small Town, USA.

Number of flights which were on time Number of flights which were late
Podunk Airlines 33 6
Upstate Airlines 43 5

If one of the 87 flights is randomly selected, find the probability that the flight selected is an Upstate Airlines flight given that it was late.
○ 5/48
● 5/11
○ 5/87
○ None of the above is correct.

Solve the problem.
17) A firm uses trend projection and seasonal factors to simulate sales for a given time period. It
assigns “0” if sales fall, “1” if sales are steady, “2” if sales rise moderately, and “3” if sales rise a lot. The simulator generates the following output.

0 1 0 2 2 0 0 1 2 3 2 0 2 0 2 2 1 2 3 1 2 2 2 0 3 0 0 2 1 2 1

Estimate the probability that sales will rise at least moderately.
○ 0.512
○ 0.452
● 0.516
○ 0.613
Evaluate the expression.

18) \(C_2^{10}\)
○ 80,640
○ 40,320
● 45
○ 5

Solve the problem.
19) A state lottery involves the random selection of six different numbers between 1 and 22. If you select one six number combination, what is the probability that it will be the winning combination?

● 1/74,613
○ 1/113,379,904
○ 1/53,721,360
○ 1/720

20) How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if repetition of digits is not allowed?
○ 120
○ 16,807
● 2520
○ 119

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