Let x represent the height of first graders in a class. This would be considered what type of variable:
Let x represent the height of first graders in a class. This would be considered what type of variable:
Nonsensical
Lagging
Discrete
Continuous
Question 2Let x represent sheets of paper in a package. This would be considered what type of variable:
Discrete
Continuous
Distributed
Inferential
Question 3Consider 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?
13.0%
12.7%
15.2%
18.9%
Question 4Consider the following table.
Weekly hours worked Probability
1-30 (average=22) 0.08
31-40 (average=35) 0.16
41-50 (average=46) 0.72
51 and over (average=61) 0.04
Find the mean of this variable.
44.2
49.2
42.9
41.0
Question 5Consider 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.
1.83
1.35
0.85
1.44
Question 6Consider 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.
3.68
1.86
0.93
1.36
Question 7Ten fourth graders are randomly selected. The random variable represents the number of fourth graders who own a smartphone. For this to be a binomial experiment, what assumption needs to be made?
The probability of being selected is the same for all fourth graders
All ten selected fourth graders are the same age
The probability of owning a smartphone is the same for all fourth graders
The probability of being a fourth grader is the same for all those selected
Question 8A 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
10
0.10
0.39
Question 9Thirty-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) 0.005
(1) 0.069 (2) 0.974
(1) 0.021 (2) 0.026
(1) 0.021 (2) 0.005
Question 10Eleven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 87.6% of all their baseballs have straight stitching. If exactly seven of the eleven have straight stitching, should the company stop the production line?
No, the probability of seven or more having straight stitching is not unusual
Yes, the probability of seven or more having straight stitching is unusual
No, the probability of exactly seven have straight stitching is not unusual
Yes, the probability of exactly seven having straight stitching is unusual
Question 11A supplier must create metal rods that are 2.1 inches width to fit into the next step of production. Can a binomial experiment be used to determine the probability that the rods are too wide, too narrow, or about right?
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
Yes, all production line quality questions are answered with binomial experiments
Yes, as each rod measured would have two outcomes: too long or too short
Question 12In 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?
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
No, binomial does not include systematic selection such as “fifth”
Yes, you are finding the probability of exactly 5 not being broken
Question 13Eighty-two percent of employees make judgements 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?
0, 1, 2, 3
1, 2, 3, 4
1, 2, 3
0, 1, 2, 7
Question 14The probability of a potential employee passing a drug test is 91%. If you selected 15 potential employees and gave them a drug test, how many would you expect to pass the test?
14 employees
15 employees
12 employees
13 employees
Question 15Off the production line, there is a 2.2% chance that a candle is defective. If the company selected 40 candles off the line, what is the standard deviation of the number of defective candles in the group?
0.93
0.86
0.88
0.43
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