Probability of Tenured Faculty on Committee

  • MHB
  • Thread starter trastic
  • Start date
  • Tags
    Binomial
In summary, the probability of all members of the committee being tenured is (6/8)^3 = 0.421875 or about 42.19%. The probability that at least one member is not tenured is the complement of this, which is 1 - 0.421875 = 0.578125 or about 57.81%.
  • #1
trastic
4
0
"The computer systems department has eight faculty, six of whom are tenured. Dr. Vonder, the chairman, wants to establish a committee of three department faculty members to review the cur- riculum. If she selects the committee at random:
a. What is the probability all members of the committee are tenured?
b. What is the probability that at least one member is not tenured? (Hint: For this question, use the complement rule.)"
 
Mathematics news on Phys.org
  • #2
trastic said:
"The computer systems department has eight faculty, six of whom are tenured. Dr. Vonder, the chairman, wants to establish a committee of three department faculty members to review the cur- riculum. If she selects the committee at random:
a. What is the probability all members of the committee are tenured?
b. What is the probability that at least one member is not tenured? (Hint: For this question, use the complement rule.)"

Since in each trial (picking a faculty member) all they are checking is whether or not the member has tenure (i.e. 2 possibilities - success or fail) this is a Binomial Distribution...
 

FAQ: Probability of Tenured Faculty on Committee

What is the probability of a tenured faculty member being on a committee?

The probability of a tenured faculty member being on a committee depends on the total number of faculty members and the proportion of tenured faculty at the institution. For example, if there are 100 faculty members and 60% of them are tenured, then the probability of a tenured faculty member being on a committee is 60%.

How does the probability of tenured faculty on a committee affect decision-making?

The probability of tenured faculty on a committee may affect decision-making in a number of ways. For instance, tenured faculty members may bring more experience and expertise to the decision-making process, which could lead to more informed and well-rounded decisions. Additionally, the presence of tenured faculty on a committee may also increase the credibility and legitimacy of the decisions made.

Are there any biases in the selection process of tenured faculty for committee positions?

In some cases, there may be biases in the selection process of tenured faculty for committee positions. For example, there may be a tendency to select tenured faculty from a specific department or area of study, which could result in a lack of diversity on the committee. It is important for institutions to have a fair and transparent selection process to avoid any potential biases.

How does the probability of tenured faculty on a committee differ across different institutions?

The probability of tenured faculty on a committee may differ across different institutions due to variations in the proportion of tenured faculty and the selection process for committee positions. Some institutions may have a higher proportion of tenured faculty and thus a higher probability, while others may have a lower proportion and a lower probability. Additionally, the criteria for selecting tenured faculty for committee positions may also vary among institutions.

Is there a correlation between the number of tenured faculty on a committee and the success of the committee's decisions?

There is no definitive answer to this question as the success of a committee's decisions depends on a variety of factors. However, having a balanced representation of tenured faculty on a committee may lead to more well-informed and diverse perspectives, which could potentially result in more successful decisions. It is important for committees to have a mix of tenured and non-tenured faculty to ensure a variety of viewpoints are considered.

Similar threads

MHB Probability of A Winning Dept Head Vote w/ 5 Faculty Members
Replies
2
Views
14K
MHB Binomial Experiments: Find Probability of x=5, x>=6, x<4
Replies
2
Views
5K
Probability distributions binomial or hypergeometric
Replies
1
Views
2K
Intro Statistics/ Probability help?
Replies
3
Views
8K
How Do Basic Permutations Apply to Real-World Probability Problems?
Replies
2
Views
6K
Physics What are the steps to becoming a physicist?
Replies
1
Views
3K
Probability of being dealt one pair from a 52-card deck
Replies
5
Views
6K
Meet jtbell: Meet a Mentor Series Interview
Replies
12
Views
6K
Who Is George Jones in the Meet a Mentor Series?
Replies
9
Views
6K
Challenge Math Challenge - December 2018
2
Replies
67
Views
12K

Hot Threads

Recent Insights

Back
Top