The grade appeal process at a university requires that a jury be structured by s

Question

The grade appeal process at a university requires that a jury be structured by selecting five individuals randomly from a pool of twelve students and ten facully. (a) What is the probability of selecting a jury of all students? (b) What is the probability of selecting a jury of all facully? (c) What is the probability of selecting a jury of three students and two faculty? (a) What is the probability of selecting a jury of all students? Round to five decimal places as needed.) (b) What is the probability of selecting a jury of all faculity? (Round to five decimal places as needed ) (c) What is the probability of selecting a jury of three students and two faculty? (Round to five declmal places as needed )

Explanation / Answer

Solution:

(a) P(all student jury) = 12C5 /22C5
= 792/26334
= 0.0301
(b) P(all faculty) = 10C4/22C5
= 210/26334
= 0.0079
(c) P(three students & two faculty) = (12C3)(10C2)/22C5
= 220 *45/ 26334
= 0.3759

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