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

ID: 3157020 • Letter: 5

Question

5.5 The grade appeal process at a university requires that a jury be structured by selecting six individuals randomly from a pool of ten students and six

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 three

students and three ?faculty?

5.5 Counting Techniques %)5561 5.5.61 0.23 of 1 Point E Question Help The grade appeal process at a university requires that a jury be structured by selecting six individuals randomly from a pool of ten students and six faculty. (a) What is the probability of selecting a jury of all students? (b) What is the probability of selecting a jury of a faculty? (c) What is the probability of selecting a jury of three students and three faculty? (a) What is the probability of selecting a jury of all students? (Round to five decimal places as needed.)

Explanation / Answer

5.5 The grade appeal process at a university requires that a jury be structured by selecting six individuals randomly from a pool of ten students and six faculty.

Possible combination of selecting 6 from total 16 members = 16C6 =8008

(a) What is the probability of selecting a jury of all students?

Possible combination of selecting 6 from total 10 STUDENTS = 10C6 =210

Possible combination of selecting 0 from total 6 FACULTY = 6C0=1

probability of selecting a jury of all students = (10C6)(6C0)/16C6

=(210*1)/8008 = 0.0262238

(b) What is the probability of selecting a jury of all faculty?

Possible combination of selecting 0 from total 10 STUDENTS = 10C0 =1

Possible combination of selecting 6 from total 6 FACULTY = 6C6=1

probability of selecting a jury of all students =(1*1)/8008 = 0.0001248

students and three faculty?

Possible combination of selecting 3 from total 10 STUDENTS = 10C3 =120

Possible combination of selecting 3 from total 6 FACULTY = 6C3=20

probability of selecting a jury of all students =(120*20)/8008 = 0.2997

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

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