Ask Question
28 October, 23:49

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

(a) What is the probability of selecting a jury of all students?

nothing (Round to five decimal places as needed.)

(b) What is the probability of selecting a jury of all faculty?

nothing (Round to five decimal places as needed.)

(c) What is the probability of selecting a jury of four students and three faculty?

nothing (Round to five decimal places as needed.)

+1
Answers (1)
  1. 29 October, 00:17
    0
    Step-by-step explanation:

    There are 10 students and 11 faculty, for a total of 21 people.

    7 individuals are chosen for the jury.

    (a) There are ₁₀C₇ ways of choosing 7 individuals from 10 students.

    There are ₂₁C₇ ways of choosing 7 individuals from 21 people.

    So the probability that the individuals are all students is:

    P = ₁₀C₇ / ₂₁C₇

    P = 120 / 116280

    P ≈ 0.00103

    (b) There are ₁₁C₇ ways of choosing 7 individuals from 11 faculty.

    There are ₂₁C₇ ways of choosing 7 individuals from 21 people.

    So the probability that the individuals are all students is:

    P = ₁₁C₇ / ₂₁C₇

    P = 330 / 116280

    P ≈ 0.00284

    (c) There are ₁₀C₄ ways of choosing 4 individuals from 10 students.

    There are ₁₁C₃ ways of choosing 3 individuals from 11 faculty.

    There are ₂₁C₇ ways of choosing 7 individuals from 21 people.

    So the probability that the individuals are all students is:

    P = ₁₀C₄ ₁₁C₃ / ₂₁C₇

    P = 210 * 165 / 116280

    P ≈ 0.29799
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The grade appeal process at a university requires that a jury be structured by selecting seven individuals randomly from a pool of ten ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers