Question

This question has five parts. Data listed below.

A survey of 518 workers included the question "In your opinion, is it OK for a company to monitor its employees' Internet use?" The possible responses were: (1) Only after informing the employees, (2) Company can monitor internet at any time for any reason, (3) Only when company believes an employee is misusing the Internet, (4) Company does not have the right, and (5) Only if an employee has previously misused the Internet. The table included contains the results for the respondents.

1. Calculate the probability that a randomly chosen respondent would indicate that there should be some restriction concerning the company's right to monitor Internet use.

The probability is: ________ (Do not use percents. Round to four decimal places as needed.)

2. Indicate the method of probability assessment used to determine the probability in the question above. Select from bold choices.

The    ["subjective probability", "classical probability", "relative frequency"]   assessment approach is used because the probability is based on    ["data that have been collected.", "outcomes that occur with the same chance.", "a person's opinion."]

3. Are the events that a randomly selected respondent chose response 3 and that another randomly selected respondent chose response 4 independent? Choose the correct answer below.

a. The two events are not independent because a respondent cannot choose response 3 and response 4.

b. The two events are independent because one respondent's choice of response 3 affects the probability that the other respondent will choose response 4.

c. The two events are independent because one respondent's choice of response 3 does not affect the probability that the other respondent will choose response 4.

d. The two events are not independent because one respondent's choice of response 3 affects the probability that the other respondent will choose response 4.

4. Are the events that a randomly selected respondent chose response 3 and that another randomly selected respondent chose response 4 mutually exclusive? Choose the correct answer below.

a. The two events are not mutually exclusive because a respondent cannot choose response 3 and response 4.

b. The two events are not mutually exclusive because a respondent can choose response 3 while another chooses response 4.

c. The two events are mutually exclusive because one respondent's choice of response 3 affects the probability that the other respondent will choose response 4.

d. The two events are mutually exclusive because a respondent can choose response 3 while another chooses response 4.

5. Are the events that a randomly selected respondent chose response 3 and that another randomly selected respondent chose response 4 dependent events? Choose the correct answer below.

a. The two events are dependent because one respondent's choice of response 3 does not affect the probability that the other respondent will choose response 4.

b. The two events are not dependent because one respondent's choice of response 3 does not affect the probability that the other respondent will choose response 4.

c. The two events are dependent because a respondent can choose response 3 while another chooses response 4.

d. The two events are not dependent because one respondent's choice of response 3 affects the probability that the other respondent will choose response 4.

Data:

Response	1	2	3	4	5
Number of Respondents	165	215	114	10	14

Answer 1

Solution:

1. The probability that a randomly chosen respondent would indicate that there should be some restriction concerning the company's right to monitor Internet use is,

= 1 - probability that Company can monitor internet at any time for any reason

= 1 - (215/518)

= 0.5849

2.

The relative frequency assessment approach is used because the probability is based on data that have been collected.

3. The events that a randomly selected respondent chose response 3 and that another randomly selected respondent chose response 4 are independent.

c. The two events are independent because one respondent's choice of response 3 does not affect the probability that the other respondent will choose response 4.

4. The events that a randomly selected respondent chose response 3 and that another randomly selected respondent chose response 4 are not mutually exclusive.

b. The two events are not mutually exclusive because a respondent can choose response 3 while another chooses response 4.

5. The events that a randomly selected respondent chose response 3 and that another randomly selected respondent chose response 4 are not dependent events.

b. The two events are not dependent because one respondent's choice of response 3 does not affect the probability that the other respondent will choose response 4.