#=======================M5.1LIKE============================
 MTB > # Fifty five percent of the adult population in a large
 MTB > # city are women. A panel of 10 citizens is to be selected
 MTB > # from the adult city population.
 MTB > # (a) what is the probability that 3 panelists are women
 MTB > pdf x=3;
 SUBC>  binomial 10 0.55 .
        K          P( X = K)
      3.00            0.0746
 MTB > # (b) at most 3 panelists are women
 MTB > cdf x=3;
 SUBC>    binomial 10 0.55 .
        K  P( X LESS OR = K)
      3.00            0.1020
 
 MTB >  # (c) distribution
 MTB >  pdf;
 SUBC>   binomial 10 0.55 .
 

     BINOMIAL WITH N =  10  P = 0.550000
        K          P( X = K)
        0            0.0003
        1            0.0042
        2            0.0229
        3            0.0746
        4            0.1596
        5            0.2340
        6            0.2384
        7            0.1665
        8            0.0763
        9            0.0207
       10            0.0025

#=======================M5.4LIKE============================
 MTB > #
 MTB > # A statistics professor receives an average of 2.1 complaints/day
 MTB > # from his 110E students. Let X denote the number of complaints
 MTB > # received by the professor on a particular day.
 MTB > # (a) P(X=0)
 MTB > pdf x=0;
 SUBC>   poisson 2.1.
        K          P( X = K)
      0.00            0.1225
 MTB > #(b) P(X <= 6)
 MTB > cdf x=6;
 SUBC>   poisson 2.1.
        K  P( X LESS OR = K)
      6.00            0.9941
 MTB > #(c) distribution ...
 MTB > pdf ;
 SUBC>  poisson 2.1.
 
     POISSON WITH MEAN =   2.100
        K          P( X = K)
        0            0.1225
        1            0.2572
        2            0.2700
        3            0.1890
        4            0.0992
        5            0.0417
        6            0.0146
        7            0.0044
        8            0.0011
        9            0.0003
       10            0.0001
       11            0.0000
 MTB > # note that the number of realizations for the 
 MTB > # Poisson is unlimited. Only 11 are listed for K since
 MTB > # probs of values > 11 are very small!
 MTB > quit
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