MATH 221 Statistics for Decision Making Week 3 Homework
MATH 221 Statistics for Decision Making Week 3 Homework
Question 1Let x represent the number of cars in a parking lot. This would be considered what type of variable:
Nonsensical
Continuous
Lagging
Question 2 Let x represent the inches of rain on crops in Akron, Ohio. This would be considered what type of variable:
Continuous
Discrete
Inferential
Distributed
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 40-49?
42.5%
23.7%
18.9%
16.5%
Question 4Consider the following table.
Weekly hours worked Probability
1-30 (average=23) 0.08
31-40 (average=36) 0.10
41-50 (average=43) 0.74
51 and over (average=54) 0.08
Find the mean of this variable.
39.0
31.8
41.6
25.2
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.
0.85
1.44
1.35
1.83
Question 6Consider the following table.
Defects in batch Probability
2 0.18
3 0.29
4 0.18
5 0.14
6 0.11
7 0.10
Find the standard deviation of this variable.
2.49
4.01
1.58
1.52
Question 7The standard deviation of samples from supplier A is 0.0841, while the standard deviation of samples from supplier B is 0.0926. Which supplier would you be likely to choose based on these data and why?
Supplier A, 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 B, as their standard deviation is higher and, thus, easier to fit into our production line
Question 8Ten 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
The probability of owning a smartphone is the same for all fourth graders
All ten selected fourth graders are the same age
The probability of being a fourth grader is the same for all those selected
Question 9A 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 n?
0.10
x, the counter
10
0.39
Question 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.
(1) 0.207 (2) 0.901
(1) 0.793 (2) 0.099
(1) 0.762 (2) 0.901
(1) 0.207 (2) 0.099
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