Wetzel                                                                                                             

Math 110

Test #5

TURN OFF CELL PHONES & PUT AWAY!!

1.)  In how many ways can 4 employees be chosen from a possible 11 employees and assigned 4 different jobs?

2.)         a.)  A true-false examination contains 6 questions.  In how many ways can a person answer the questions on the test just by guessing?   (assume all the questions are answered)

            b.)  What is the probability the student makes a 100% on the test?

3.)    Here are the counts (in thousands) of earned degrees in the United States in the 2005-2006 academic year, classified by level and by the sex of the degree recipient:

            A.)  If you choose a degree recipient at random, what is the probability that the person you choose is a woman?

            B.)  What is the probability that you choose a man, given that the person chosen received a doctorate degree?

            C.)  Find the probability of choosing a female or a recipient of a master’s degree.

            D.)  What is the probability of not choosing a professional degree?

            E.)  What is the probability of choosing a female and a bachelor’s degree?

4.)  Simplify   using the Binomial Theorem.

Given the matrices below, answer questions 5 –9.

5.)                                                         6.) 

7.)                                                             8.) 

9.) 

10.)  Given the following system, answer questions a – c.

            a.)  Write the system as a matrix.

            b.)  What is the size of the matrix?

            c.)  Solve the system.