The grade appeal process at a university requires that a jury be structured by s
ID: 3233149 • Letter: T
Question
The grade appeal process at a university requires that a jury be structured by selecting eight individuals randomly from a pool of twelve students and ten 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 this probability of selecting a jury of two students and six 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 sot faculty? (Round to five decimal places as needed)Explanation / Answer
SOlution:-
a) The probability of selelcting a jury from of all students is 0.001548.
Total number of students = 12
Number of persons to be selected in jury = 8
Total ways to select 8 jury is = 22C8 = 319,770
Different ways of selelcting a jury from of all students = 12C8 = 495
The probability of selelcting a jury from of all students = 495/319770 = 0.001548
b) The probability of selelcting a jury from of all faculty is 0.0001407.
Total number of faculty = 10
Number of persons to be selected in jury = 8
Total ways to select 8 jury is = 22C8 = 319,770
Different ways of selelcting a jury from of all faculty = 10C8 = 45
The probability of selelcting a jury from of all faculty = 45/319770 = 0.0001407
c) The probability of selelcting a jury from of two students and six faculty is 0.005604.
Total number of faculty = 10
Total number of students = 12
Number of persons to be selected in jury = 8
Different ways of selelcting a jury from of two students and six faculty = 12C2 × 8C6 = 1792
Total ways to select 8 jury is = 22C8 = 319,770
The probability of selelcting a jury from of two students and six faculty = 1792/319770 = 0.005604
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