Question

The grade appeal process at a university requires that a jury be structured by selecting five individuals randomly from a pool of seven students and eight faculty.

(a) What is the probability of selecting a jury of all students?
(b) What is the probability of selecting a fury of faculty?
(c) What is the probability of selecting a jury of two students and three faculty?

(a) What is the probability of selecting a jury of all students?
▭(Round to five decimal places as needed)

Answer 1

The probability of selecting a jury of all students is determined by the number of ways to select 5 students from a pool of 7 students and 8 faculty members.

Step-by-step explanation:

To find the probability of selecting a jury of all students, we need to determine the number of ways to select 5 students from a pool of 7 students and 8 faculty members. The total number of possible juries is the number of ways to select 5 individuals from a pool of 15. So, the probability of selecting a jury of all students is:

P(all students) = (number of ways to select 5 students from 7) / (number of ways to select 5 individuals from 15)

P(all students) = C(7, 5) / C(15, 5)

where C is the notation for combinations. Evaluating this expression will give us the probability.