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

ID: 3231393 • Letter: T

Question

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

Explanation / Answer

no.of students=9

faculty=7

To select 4 individuals

Probability of selecting a jury of all students = 9C4*7C0/ 16C4 = 126/1820 = 0.0692

Probability of selecting a jury of all faculty = 9C0*7C4/ 16C4 = 35/1820 =0.01923

Probability of selecting a jury of two students and two faculty = 9C2*7C2/ 16C4 =36*21/1820 =0.4154

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