1. Let x represent the number of cars in a parking lot. This would be considered what type of variable:
Group of answer choices
Lagging
Continuous
Nonsensical
Discrete
2. Let x represent the number of players on a sports field. This would be considered what type of variable:
Group of answer choices
Continuous
Discrete
Inferential
Distributed
3. Consider the following table.
Age Group
Frequency
18-29
9831
30-39
7845
40-49
6869
50-59
6323
60-69
5410
70 and over
5279
If you created the probability distribution for these data, what would be the probability of 60-69?
Group of answer choices
13.0%
18.9%
15.2%
12.7%
4. Consider the following table.
Weekly hours worked
Probability
1-30 (average=22)
0.08
31-40 (average=35)
0.41
41-50 (average=46)
0.47
51 and over (average=61)
0.04
Find the mean of this variable.
Group of answer choices
35.9
39.0
41.0
40.2
5. Consider the following table.
Defects in batch
Probability
0
0.28
1
0.35
2
0.16
3
0.09
4
0.10
5
0.02
Find the variance of this variable.
Group of answer choices
0.85
1.35
1.83
1.44
7. Consider the following table.
Defects in batch
Probability
2
0.15
3
0.44
4
0.18
5
0.10
6
0.07
7
0.06
Find the standard deviation of this variable.
Group of answer choices
1.36
1.86
0.93
3.68
7. The standard deviation of the number of video game A's outcomes is 1.8940, while the standard deviation of the number of video game B's outcomes is 1.6179. Which game would you be likely to choose if you wanted players to have the most choice and why?
Group of answer choices
Game B, as the standard deviation is lower and, thus offers more choices in outcomes
Game A, as the standard deviation is lower and, thus offers fewer choices in outcomes
Game A, as the standard deviation is higher and, thus offers more choices in outcomes
Game B, as the standard deviation is higher and, thus offers more choices in outcomes
8. Fifteen golfers are randomly selected. The random variable represents the number of golfers who only play on the weekends. For this to be a binomial experiment, what assumption needs to be made?
Group of answer choices
The probability of golfing during the week is the same for all golfers
All fifteen golfers play during the week
The probability of golfing on the weekend is the same for all golfers
The probability of being selected is the same for all fifteen golfers
9. A survey found that 31% of all teens buy soda (pop) at least once each week. Seven teens are randomly selected. The random variable represents the number of teens who buy soda (pop) at least once each week. What is the value of n?
Group of answer choices
x, the counter
7
0.31
0.07
10. Forty-four percent of US adults have little confidence in their cars. You randomly select twelve US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly six and then find the probability that it is (2) more than 7.
Group of answer choices
(1) 0.207 (2) 0.099
(1) 0.793 (2) 0.099
(1) 0.207 (2) 0.901
(1) 0.762 (2) 0.901
11. Say a business found that 98.3% of soda cans at a production facility in California are filled correctly. The company chooses 100 juice cans off the production line at that same facility. What assumption must be made for this study to follow the probabilities of a binomial experiment?
Group of answer choices
That there is a 98.3% probability of being a selected customer in either production line
That the probabilities of soda cans and juice cans being filled correctly is the same
That the probability of cans being filled correctly is the same as the probability of a can being selected
That the probability of being a selected can is the same for both products
12. Eleven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 98.3% of all their baseballs have straight stitching. If exactly nine of the eleven have straight stitching, should the company stop the production line?
Group of answer choices
Yes, the probability of exactly nine having straight stitching is unusual
No, the probability of nine or more having straight stitching is not unusual
Yes, the probability of nine or less having straight stitching is unusual
No, the probability of exactly nine have straight stitching is not unusual
13. A soup company puts 20 ounces of soup in each can. The company has determined that 97% of cans have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 24 cans has all cans that are properly filled?
Group of answer choices
n=20, p=0.97, x=20
n=20, p=0.97, x=1
n=24, p=0.97, x=1
n=24, p=0.97, x=24
14. A supplier must create metal rods that are 2.3 inches width to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are the correct width or an incorrect width?
Group of answer choices
Yes, as each rod measured would have two outcomes: correct or incorrect
Yes, all production line quality questions are answered with binomial experiments
No, as the probability of being about right could be different for each rod selected
No, as there are three possible outcomes, rather than two possible outcomes
15. In a box of 12 tape measures, there is one that does not work. Employees take tape measures as needed and returned after use. You are the 9th employee to take a tape measure. Is this a binomial experiment?
Group of answer choices
No, binomial does not include systematic selection such as "ninth"
No, the probability of getting the broken tape measure changes as there is no replacement
Yes, with replacement, the probability of getting the one that does not work is the same
Yes, you are finding the probability of exactly 9 not being broken
16. Sixty-one percent of employees make judgments about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual?
Group of answer choices
1, 2, 8
1, 2, 7, 8
0, 1, 7, 8
0, 1, 2, 8
17. Sixty-eight percent of products come off the line within product specifications. Your quality control department selects 15 products randomly from the line each hour. Looking at the binomial distribution, if fewer than how many are within specifications would require that the production line be shut down (unusual) and repaired?
Group of answer choices
Fewer than 9
Fewer than 10
Fewer than 8
Fewer than 11
18. The probability of a potential employee passing a drug test is 90%. If you selected 11 potential employees and gave them a drug test, how many would you expect to pass the test?
Group of answer choices
11 employees
9 employees
8 employees
10 employees
19. The probability of a potential employee passing a training course is 86%. If you selected 15 potential employees and gave them the training course, what is the probability that more than 12 will pass the test?
Group of answer choices
0.352
0.852
0.900
0.648
20. Off the production line, there is a 3.7% chance that a candle is defective. If the company selected 45 candles off the line, what is the probability that fewer than 3 would be defective?
Group of answer choices
0.037
0.768
0.916
0.975