Example Quiz #3 : Statistics - Math 340

This quiz has been retired.  It is not being used for the internet version of Math 340 anymore.

 Directions:     This is test has multiple choice, True/False, and fill in the blank answers.  Select the option that BEST represents the correct answer.     RECOMMENDATION:  Put your answers in a Word Document and INCLUDE AN    EXPLANATION OF ALL YOUR CALCULATIONS.  I will give partial credit if you were    doing a math problem the right way but made a silly error (we all do this - myself included!)   Please INCLUDE YOUR NAME IN THE FILE YOU SEND TO ME!  The bare minimum requirement is to send me an email with your answers by October 4, 1999.     If there are any questions, contact me immediately!

 Name:

1.  Is the distribution below a valid probability distribution?

 X 1 2 3 4 P(X) 1/2 1/3 1/3 1/5

YES       or             NO

2.  What is the mean of the following probability distribution??

 X 8 10 12 14 P(X) 0.2 0.3 0.1 0.4

a.  11.4
b.  10.6
c.  10.9
d.  11.2

 3.  A box contains ten \$1 bills, six \$5 bills, and four \$10 bills.  You are charged \$5 to reach in and select a bill from the box (blindfolded, of course).  What is the expected value? a.  -\$1 b.  \$1 c.  -\$2 d.  -\$1.50

 4.  In binomial experiments, there are only two possible outcomes: success or failure. TRUE  OR  FALSE

 5.  Using the Binomial Formula, if n = 8 and p =  .32, what is the probability of getting exactly 4 successes? a.  0.324 b.  0.145 c.  0.157 d.  0.186

 6.  A survey from Litton, Inc. found that 40% of teenage consumers spent a least two weekends each month in shopping malls.  If five teenagers are selected at random, what is the probability that exactly three of them spend two weekends a month in shopping malls (You may use the table in Appendix C) a.  0.47 b.  0.62 c.  0.36 d.  0.23

 7.  If we have a Binomial Distribution where n = 50 and p = 0.2, what are the mean, variance and standard deviation?   a.  25, 10, 2.83 b.  10, 8, 2.83 c.  10, 6, 2.83 d.  20, 8, 2.83

 8.  A board of directors consists of seven men and five women.  If a group of three officers is to be selected from the board, what is the probability that it will contain exactly two men?  a.  21/44 b.  21/22 c.  1/22 d.  7/24

 END OF QUIZ