Let x represent the height of first graders in a class. This would be considered what type of variable:
Nonsensical
Lagging
Continuous
Discrete
Let x represent the height of corn in Oklahoma. This would be considered what type of variable:
Discrete
Inferential
Distributed
Continuous
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 18-29?
23.7%
16.5%
18.9%
42.5%
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.
35.9
39.0
41.0
40.2
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.
1.35
1.83
0.85
1.44
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.
1.36
0.93
1.86
3.68
The standard deviation of samples from supplier A is 0.4582, while the standard deviation of samples from supplier B is 0.3358. Which supplier would you be likely to choose based on these data and why?
Supplier B, as their standard deviation is higher and, thus, easier to fit into our production line
Supplier A, as their standard deviation is lower and, thus, easier to fit into our production line
Supplier B, as their standard deviation is lower and, thus, easier to fit into our production line
Supplier A, as their standard deviation is higher and, thus easier to fit into our production line
Thirty-five percent of teens buy soda (pop) at least once each week. Eleven kids are randomly selected. The random variable represents the number of these kids who purchase soda (pop) at least once each week. For this to be a binomial experiment, what assumption needs to be made?
All teens have the same probability of being selected
The probability of being a teen and being a kid should be the same
All the kids eligible to be selected are teens
All eleven kids selected live in the same region
A survey found that 39% of all gamers play video games on their smartphones. Ten frequent gamers are randomly selected. The random variable represents the number of frequent games who play video games on their smartphones. What is the value of p?
x, the counter
0.10
10
0.39
Thirty-five percent of US adults have little confidence in their cars. You randomly select ten 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.
(1) 0.069 (2) 0.974
(1) 0.021 (2) 0.026
(1) 0.069 (2) 0.005
(1) 0.021 (2) 0.005
Say a business found that 29.5% of customers in Washington prefer grey suits. The company chooses 8 customers in Washington and asks them if they prefer grey suits. What assumption must be made for this study to follow the probabilities of a binomial experiment?
That the probability of being a selected customer is the same for all 8 people
That those selected have similar characteristics to those in the original study
That there is a 29.3% probability of being a selected customer
That the probability of preferring grey suits is the same as preferring suits of other colors
Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching. If exactly five of the seven have straight stitching, should the company stop the production line?
Yes, the probability of exactly five having straight stitching is unusual
No, the probability of exactly five have straight stitching is not unusual
No, the probability of five or less having straight stitching is not unusual
Yes, the probability of five or less having straight stitching is unusual
A beer company puts 15 ounces of beer in each can. The company has determined that 95.5% of cans have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 16 cans has all cans that are properly filled?
n=16, p=0.95, x=1
n=16, p=0.955, x=16
n=15, p=0.95, x=16
n=15, p=0.955, x=15
A supplier must create metal rods that are 18.1 inches long to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are correct length or an incorrect length?
No, as there are three possible outcomes, rather than two possible outcomes
Yes, as each rod measured would have two outcomes: correct or incorrect
No, as the probability of being about right could be different for each rod selected
Yes, all production line quality questions are answered with binomial experiments
In a box of 12 pens, there is one that does not work. Employees take pens as needed. The pens are returned once employees are done with them. You are the 5th employee to take a pen. Is this a binomial experiment?
No, binomial does not include systematic selection such as "fifth"
Yes, with replacement, the probability of getting the one that does not work is the same
No, the probability of getting the broken pen changes as there is no replacement
Yes, you are finding the probability of exactly 5 not being broken
Forty-two percent of employees make judgments about their co-workers based on the cleanliness of their desk. You randomly select 7 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?
1, 6, 7
0, 1, 2, 7
0, 1, 7
1, 2, 6, 7
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?
Fewer than 8
Fewer than 9
Fewer than 11
Fewer than 10
The probability of a potential employee passing a drug test is 86%. If you selected 15 potential employees and gave them a drug test, how many would you expect to pass the test?
12 employees
13 employees
15 employees
14 employees
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?
0.648
0.352
0.900
0.852
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?
0.975
0.916
0.037
0.768