Class   Practice problems
------  ---------------------------
Jan 17  Chap 3: 1, 5, 9, 11; Chap 6: 3, 5, 11; Chap 4:  7, 9, 11, 19, 31
Jan 19  Chap 3: 47, 49, 51;  Chap 4: 33, 41;   Chap 6: 63, 65, 71
Jan 24  Chap 8: 61, 63, 69;  Chap 11: 21, 23, 25, 29, 31
Jan 26  Chap 8: 75, 77, 79
Jan 31  Chap 11: 21, 23, 25, 29, 31, 33, 35, 37
Feb  2  Chap 8: 81;   Chap 11: 53-59 odd
Feb  7  Chap 11: 43, 45, 49
Feb 14  Chap 10: 1, 5, 11, 36, 37
Feb 28  1. Draw a stem-and-leaf plot and box plot for the following data set:
             89, 69, 86, 61, 86, 80, 64, 67, 80, 94, 94, 70, 67, 90,
             93, 83, 61, 77, 47, 90, 58, 78, 87, 85, 22, 95, 76, 93.

        2. Express the ordinary power series generating functions 
for the sequence the following sequences as rational functions of x.
            (a) { 1, -1, 1, -1, 1, -1, . . . }

            (b) { 1, 2, 4, 8, 16, 32, . . . } 

            (c) 
                                      {            } inf 
            { 2, 6, 12, 20, . . . } = { (n+1)(n+2) }
                                      {            } n=0 

Mar  2  Chap 4: 35, 37
      Let X be a random variable.
      (a)  Show that "moment generating function" is an appropriate name for
        E [ exp(tX) ] by showing that the Maclaurin series expansion for
        E [ exp(tX) ] is the exponential generating function for the
        sequence of kth moments about the origin
           E(1), E(X), E(X^2), E(X^3), . . . 

       (b) Use part (a) to show that the k-th moment about the origin
           may be calculated by the formula

                           k             | 
               k          d              |
          E ( X  )  =     ---    M  (t)  |
                            k     X      |
                          dt             | t=0


              where M (t) := E [ exp(tX) ]. 
                     X

Mar  7  Chap 10: 51-67 odd  

Mar 22  Chap 13: 19-29 odd 

Mar 28  Chap 13: 47-49, 51-55

Apr 11  Chap 13: 75-81 odd

Apr 13  Chap 14: 41, 43, 45, 53

Apr 18  Chap 14: 55, 65

Apr 20  See the ANOVA supplement.

Apr 25  Chap 16: 16-22.