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 seven individuals randomly from a pool of eleven students and thirteen 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 faculty? (Round to five decimal places as needed.) (c) What is the probability of selecting a jury of five students and two faculty? (Round to five decimal places as needed.)

Explanation / Answer

Total individuals = 11 + 13 = 24

We need to slect 7 individuals

a) P(selecting a jury of all students) = 11C7 / 24C7 = 330 / 346104 = 0.00095

b) P(selecting a jury of all faculty) = 13C7 / 24C7 = 1716 / 346104 = 0.00496

c) P(selecting 5 students and 2 faculty) = 11C5 * 13C2 / 24C7 = 462 * 78 / 346104 = 0.10412

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