Please answer A, B, and C! The grade appeal process at a university requires tha
ID: 3296308 • Letter: P
Question
Please answer A, B, and C!
The grade appeal process at a university requires that a jury be structured by selecting seven individuals randomly from a pool of thirteen students and nine 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 four faculty? (a) What is the probability of selecting a jury of all students? (Round to five decimal places as needed.)Explanation / Answer
Solution:-
Number of students = 13
Number of faculty = 9
a) The probability of selecting jury of all students is 0.0101
Number of jury to be selected = 7
Total number of ways of selecting jury = 22C7 = 170,544
Number of ways of selecting all students = 13C7 = 17,16
The probability of selecting jury of all students = 1716/170544 = 0.010062
b) The probability of selecting jury of all faculty is 0.0002.
Number of jury to be selected = 7
Total number of ways of selecting jury = 22C7 = 170,544
Number of ways of selecting all faculty = 9C7 = 36
The probability of selecting jury of all faculty = 36/170544 = 0.0002
c) The probability of selecting jury of three students and four faculty is 0.2113.
Number of jury to be selected = 7
Total number of ways of selecting jury = 22C7 = 170,544
Number of ways of selecting all faculty = 13C3 × 9C4 = 286 × 126 = 36,036
The probability of selecting jury of three students and four faculty = 36036/170544 = 0.2113.
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