An Economic Department at a State University with Five Faculty

question 8

Essay

An Economic Department at a state university with five faculty members-Anderson, Box, Cox, Carter, and Davis-must select two of its members to serve on a program review committee. Because the work will be time-consuming, no one is anxious to serve, so it is decided that the representative will be selected by putting five slips of paper in a box, mixing them, and selecting two.
a. What is the probability that both Anderson and Box will be selected? (Hint: List the equally likely outcomes.)
b. What is the probability that at least one of the two members whose name begins with C is selected?
c. If the five faculty members have taught for 3, 6, 7, 10, and 14 years, respectively, at the university, what is the probability that the two chosen representatives have at least 15 years' teaching experience at the university?

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Definitions:

Indirect Compensation

Benefits provided to employees that do not include direct payment, such as health insurance, retirement plans, and paid time off.

Personal Leave

Approved time off from work for personal reasons, not covered by other specific leave categories like sick or vacation leave.

Paid

The state of receiving money or compensation for services rendered or as an entitlement such as salary, wages, or benefits.

Concierge Services

Services provided to assist individuals in personal tasks, arrangements, or inquiries, often found in hotels, corporate settings, or luxury environments.