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 ten students and twelve 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 three students and two faculty? (Round to five decimal places as needed.)

Explanation / Answer

The number of ways to select 5 individuals from (10+12 = 22) members is = 22C5 = 26334

a) Prob(selecting a jury of all students) = 10C5 / 22C5 = 252/26334 =0.00957

b) Prob(selecting a jury of all faculty) = 12C5 / 22C5 = 252/26334 = 792/26334 = 0.030075

c) Prob(selecting a jury of three students and two faculty) = 10C3 * 12C2 / 22C5 = 120*66 /26334 = 7920/26334

= 0.30075

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