A business school has 15 full-time faculty and seven of them have tenure. A random sample of six faculty are randomly selected to form a committee. What is the probability that exactly three of the faculty on the committee have tenure?

The probability where exactly three of the faculty have tenure is 0.3916.

The computation of the probability where exactly three of the faculty have tenure is given below:

Since there are 6 faculty from 15 should be chosen so it should be

Now there are 3 faculty from 7 should be chosen so it should be  

Now the probability is

= 0.3916

Therefore we can conclude that the probability where exactly three of the faculty have tenure is 0.3916.

Learn more about the probability here:

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1. the sum of all activities involved in getting high-quality products into the marketplace

2.operations

3. the principle of looking at the supply chain as a whole in order to improve the overall flow through the system.

4. produced; performed

5. activities producing tangible products, such as radios, newspapers, buses, and textbooks.

6. activities producing intangible and tangible products, such as entertainment, transportation, and education.

7.   customer focus

8. analyzing a competitor's products to identify desirable improvements

9. the systematic direction and control of the processes that transform resources into finished projects that create value for and provide benefits to consumers.

10. operation management.

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