500 câu trắc nghiệm Kinh tế lượng – 3B
11) A bin contains 78 light bulbs of which 4 are defective. If 5 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones.
● 0.769
○ 0.779
○ 0
○ 0.949
12)The table below describes the smoking habits of a group of asthma sufferers.
| Nonsmoker | Light smoker | Heavy smoker | Total | |
| Men | 432 | 35 | 31 | 498 |
| Women | 438 | 39 | 43 | 520 |
| Total | 870 | 74 | 74 | 1018 |
If two different people are randomly selected from the 1018 subjects, find the probability that they are both heavy smokers.
● 0.005218
○ 0.0009273
○ 0.0001826
○ 0.005284
Provide a written description of the complement of the given event.
13) When 100 engines are shipped, all of them are free of defects.
○ All of the engines are defective.
● At least one of the engines is defective.
○ None of the engines are defective.
Find the indicated probability.
14) A sample of 4 different calculators is randomly selected from a group containing 12 that are defective and 40 that have no defects. What is the probability that at least one of the calculators is defective?
○ 0.338
○ 0.120
● 0.662
○ 0.650
Solve the problem.
15) In a certain lottery, five different numbers between 1 and 34 inclusive are drawn. These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning?
● 1/33,390,720
○ 1/ 120
○ 120/33,390,720
○ 1/34!
Find the indicated probability.
16) 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 drinks root beer given that they are over 40.
○ 2/5
○ 2/17
● 6/17
○ None of the above is correct.
17) The table below describes the smoking habits of a group of asthma sufferers.
| Nonsmoker | Light smoker | Heavy smoker | Total | |
| Men | 340 | 68 | 72 | 480 |
| Women | 305 | 90 | 80 | 475 |
| Total | 645 | 158 | 152 | 955 |
If one of the 955 subjects is randomly selected, find the probability that the person chosen is a woman given that the person is a light smoker.
● 0.570
○ 0.265
○ 0.189
○ 0.094
Solve the problem.
18) 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 0 2 0 2 0 2 2 1 2 0 1 2 2 2 0 3 0 0 2 1 2 1
Estimate the probability that sales will remain steady.
○ 0.125
○ 0.412
● 0.194
○ 0.258
Evaluate the expression.
19) 10P5
○ 252
○ 2
● 30,240
○ 5
Solve the problem.
20) The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 25 people who have written in to the show. If the participants are selected randomly, what is the probability that the 5 youngest people will be selected?
○ 1/120
● 1/53,130
○ 8/25
○ 1/6,375,600