Consider the following table of hours worked by part-time employees. These employees must work in 5 hour blocks.
Question 1 (CO 3) Consider the following table:
Age Group Frequency
18-29 983
30-39 784
40-49 686
50-59 632
60-69 541
70 and over 527
If you created the probability distribution for these data, what would be the probability of 30-39?
0.425
0.237
Correct!
0.189
0.165
Question 2 (CO 3) Consider the following table of hours worked by part-time employees. These employees must work in 5 hour blocks.
Weekly hours worked Probability
5 0.15
15 0.28
20 0.31
25 0.26
Find the mean of this variable.
17.50
20.60
17.65
18.95
Question 3 (CO 3) Consider the following table:
Defects in batch Probability
0 0.21
1 0.28
2 0.30
3 0.09
4 0.08
5 0.04
Find the variance of this variable.
1.67
1.78
1.99
1.33
Question 4 (CO 3) Consider the following table:
Defects in batch Probability
0 0.21
1 0.28
2 0.30
3 0.09
4 0.08
5 0.04
Find the standard deviation of this variable.
1.41
1.67
1.33
1.78
Question 5 (CO 3) Twenty-two percent of US teens have heard of a fax machine. You randomly select 12 US teens. Find the probability that the number of these selected teens that have heard of a fax machine is exactly six (first answer listed below). Find the probability that the number is more than 8 (second answer listed below).
0.993, 0.024
0.024, 0.001
0.993, 0.000
0.024, 0.000
Question 6(CO 3) Ten rugby balls are randomly selected from the production line to see if their shape is correct. Over time, the company has found that 92.4% of all their rugby balls have the correct shape. If exactly 7 of the 10 have the right shape, should the company stop the production line?
No, as the probability of seven having the correct shape is unusual
No, as the probability of seven having the correct shape is not unusual
Yes, as the probability of seven having the correct shape is unusual
Yes, as the probability of seven having the correct shape is not unusual
Question 7 (CO 3) A bottle of water is supposed to have 20 ounces. The bottling company has determined that 96% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 bottles has all bottles properly filled?
n=0, p=36, x=98
n=36, p=0.98, x=1
n=20, p=0.98, x=36
n=36, p=0.96, x=36
Question 8 (CO 3) On the production line the company finds that 90.2% of products are made correctly. You are responsible for quality control and take batches of 30 products from the line and test them. What number of the 30 being incorrectly made would cause you to shut down production?
Less than 26
Less than 25
Less than 28
Less than 24
Question 9 (CO 3) The probability of someone ordering the daily special is 52%. If the restaurant expected 105 people for lunch, how many would you expect to order the daily special?
51
55
100
52
Question 10 (CO 3) Seventy-five percent of employees make judgements 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?
1, 2, 3
0, 1, 2, 7, 8
0, 1, 2, 3, 8
0, 1, 2, 3
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