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Math 153 Elementary Statistics est: Chapters 1-4 Exam 9/26/17 5:49 PM This Quest

ID: 3305012 • Letter: M

Question

Math 153 Elementary Statistics est: Chapters 1-4 Exam 9/26/17 5:49 PM This Question: 1 pt Time Remaining: 01.07:07 Submit Test This Test: 25 pts possible Question Help * 6 of 25 (3 c committee with three different members. There must appoint a president, chief executive officer (CEO), chief are 11 qualified candidates, and officers can also serve on the committee. Complete parts (a) through (c) below qualified candidat It must also appoint a planning There are different ways to appoint the officers b. How many different ways can the committee be appointed? There are different ways to appoint the committee. c. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified candidates? P(getting the three youngest of the qualified candidates) (Type an integer or a simplified fraction.) er your answer in each of the answer boxes

Explanation / Answer

a. The President can be appointed in 11 ways.

The CEO can be appointed in 9 ways.

The COO can be appointed in 8 ways.

The CFO can be appointed in 7 ways.

Total number of ways to appoint the officers = 9*8*7*6 = 3024.

b. The committee has 3 members out of 11.

Total number of ways to appoint committee = 11C3 = 165.

c. There is only one way the three youngest members are also members of the committe.

Probability = 1 / 165.