prob & stat

posted by jay

An academic department with five faculty members—Anderson, Box, Cox, Cramer, and Fisher—must select two of its members to serve on a personnel review committee. Because the work will be time-consuming, no one is anxious to serve, so it is decided that the representative will be selected by putting the names on identical pieces of paper and then randomly selecting two.

(a) What is the probability that both Anderson and Box will be selected?

answer 0.1 or 1/10

(b) What is the probability that at least one of the two members whose name begins with C is selected?

answer 0.7 or 7/10

(c) If the five faculty members have taught for 3, 6, 7, 10, and 14 years, respectively, at the university, what is the probability that the two chosen representatives have a total of at least 14 years teaching experience there?

I need answer for C? Don't understand.

  1. John

    3, 14
    6, 10 or 6, 14
    7, 10 or 7, 14
    10, 14

    It looks like there are 6 possibilities that meet this criteria because they all add up to at least 14 which means 14 or more years

    If we choose two out of 5

    Use a combination of 2 chosen from 5 which is 5!/(3! 2!) = 10 choices
    ! means multiply down to 1. So, 5! means 5 x 4 x 3 x 2 x1.

    You had 6 possibilities out of 10 choices or .6

Respond to this Question

First Name

Your Answer

Similar Questions

  1. general

    who are academic advisors in college? (at least a paragraph about them) Generally they are faculty members in the advisee's department. Some colleges, however, have a separate general studies program in which all freshman and sophomores
  2. Accelerated Math

    A committee is to consist of three members. If there are six men and four women available to serve on the committee, how many different committees can be formed?
  3. VB 2008 Programming

    HELP!!!! I'm not sure How to get started nor the steps to design this project. The file MEMBERS.TXT contains the names of the 100 members of a club. Write a program to randomly select people to serve as President, Treasurer, and Secretary. …
  4. statistical analysis

    2. The Computer Systems Department has eight faculty, six of whom are tenured. Dr. Vonder, the chair, wants to establish a committee of three department faculty members to review the curriculum. If she selects the committee at random: …
  5. american gov

    which of the following statements is true with respect to the terms that the president and members of congress serve and the timing of their terms A. the us constitution, as originally ratified, limits presidents to two terms B. elections …
  6. Mat 300/statistics

    In how many ways can a committee consisting of 2 faculty members and 3 students be for there are 11 faculty members and 14 students eligible to serve on the committee?
  7. Math

    A cooperation must appoint a president, CEO, COO,and a CFO. It must also appoint a planning committee with 3 different members. There are 15 candidates and officers can also serve on the planning committee. How many different ways …

    I am trying to work this problem out. I know that the systematic counting principle is used. However, I cannot get the right answer. For the first part, I took R=2 N=6 6!/(6-2)! (Permutation). Answer: 30 choices for the Chair/Vice …
  9. Statistics

    From five faculty members and four students, a committee of four is to be chosen that includes two students and two faculty members. In how many ways can this be done?
  10. maths

    A Committee Of 9 People Is To Be Formed From 4 Teachers,5 Doctors And 6 Lawyers. If 3 Members Of Each Profession Are To Serve In The Committee, How Many Ways Can It Be Done?

More Similar Questions