The grade appeal process at a university requires that a jury be structured by selecting four individuals randomly from a pool of thirteen 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 two students and two faculty?

Given : Number of individual needed to be selected to form jury = 4

Number of students = 13

Number of faculty members = 6

Total = 13+6=19

Using combinations , the number of combinations of choosing jury of 4 individuals

=

a)  Number of ways of selecting jury of all students

=

The probability of selecting a jury of all faculty=

b) The number of ways of selecting jury of all faculty=

The probability of selecting a jury of all faculty=

c) The number of ways of selecting jury of 2 students and two faculty:

Now, the probability of selecting a jury of six students and two two faculty

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: