Answered

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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?

Sagot :

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 [tex]^{15}C_6[/tex]

Now there are 3 faculty from 7 should be chosen so it should be [tex]^{7}C_3[/tex]  

Now the probability is

[tex]= \frac{^7C_3 \times ^8C_3}{^{15}C_6}[/tex]

= 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: brainly.com/question/11234923

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