For questions 6-7, suppose that a manager must choose 3 employees to be laid off
ID: 3044962 • Letter: F
Question
For questions 6-7, suppose that a manager must choose 3 employees to be laid off from among employees who are over age 50 and 8 employees who are age 50 or younger. 6. First determine the denominator: How many different choices of 3 employees are available for the manager to distribute 1t, 2nd and 3rd awards? 7. If the decision about which employees will get the awards is made completely without regard to age (i.e., at random with regard to age), what is the probability that all 3 of the employees selected would be over age 50? (Report the probability as a decimal as well as with combinations.)Explanation / Answer
(6) Here there are 3 awards (which are categorical different so we will choose permutation) so there are12* 11*10 choices of 3 employees for these three awards = 1320
(7) Here as we see that all three award goes to employees over age 50.
Pr(all 3 are over age 50) = 4 * 3 * 2/12 * 11 * 10 = 4/220 = 1/55