The grade appeal process at a university requires that a jur

The grade appeal process at a university requires that a jury be structured by selecting five 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? What is the probability of selecting a jury of three students and two faculty?

Solution

let student be x = 13

and faculty = y = 9

probability of student = 13/22 = 0.591

probability of faculty = 9/22 = 0.409

a) jury of all student = 5C5*(0.591)^5*(0.409)^0 = 0.072

B) PROBABILITY OF ALL FACULTY = 5C0*(0.591)^0*(0.409)^5 = 0.011

C) PROBABILITY OF JURY OF THREE STUDENTS = 5C3*(0.591)^3*(0.409)^2 = 0.345