A sample of employees of Worldwide Enterprises is to be surveyed about a new health care plan. The employees are classified as follows:
Classification Event Number of Employees
Supervisors A 120
Maintenance B 50
Production C 1,460
Management D 302
Secretarial E 68
(a) What is the probability that the first person selected is:
(i) either in maintenance or a secretary?
(ii) not in management?

(c) Are the events in part (a)(i) complementary or mutually exclusive or both

Using the probability concept, it is found that:

a) i) There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.

ii) There is a 0.849 = 84.9% probability that the first person selected is not in management.

b) The events are neither complementary nor mutually exclusive.

A probability is the number of desired outcomes divided by the number of total outcomes.

Item a:

In this problem, there is a total of 120 + 50 + 1460 + 302 + 68 = 2000 people.

There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.

Item ii:

2000 - 302 = 1698 people are not in management, hence:

There is a 0.849 = 84.9% probability that the first person selected is not in management.

Item b:

If a person is either in maintenance or a secretary, they are also not in management, hence the events are neither complementary nor mutually exclusive.

To learn more about the probability concept, you can take a look at link

Following are the solution to the given points:

For point a:

i)

Where because they are both separate occasions It is impossible to be a member of both departments.  

ii)

For point b:

Please find the attached file.

For point c:

Events in a. I are mutually incompatible since . One would be a part of the both departments.

Learn more:

link

yor answer is 7/6 times 5

step-by-step explanation: