View of /trunk/NationalProblemLibrary/UVA-Stat/setStat212-Homework03/stat212-HW03-06.pg

    1 ## DESCRIPTION
    2 ##  Statistics: Descriptive statistics
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('statistics', 'descriptive statistics')
    6 ## NAW tagged this problem.
    7 
    8 ## DBchapter('What is Statistics?')
    9 ## DBsection()
   10 ## Date('6/8/2005')
   11 ## Author('Nolan A. Wages')
   12 ## Institution('UVA')
   13 ## TitleText1('Statistics for Management and Economics')
   14 ## EditionText1('6')
   15 ## AuthorText1('Keller, Warrack')
   16 ## Section1()
   17 ## Problem1()
   18 
   19 
   20 DOCUMENT();        # This should be the first executable line in the problem.
   21 
   22 loadMacros(
   23 "PG.pl",
   24 "PGbasicmacros.pl",
   25 "PGchoicemacros.pl",
   26 "PGanswermacros.pl",
   27 "PGnumericalmacros.pl",
   28 "PGstatisticsmacros.pl",
   29 "PGauxiliaryFunctions.pl"
   30 );
   31 
   32 TEXT(beginproblem());
   33 $showPartialCorrectAnswers = 0;
   34 install_problem_grader(~~&std_problem_grader);
   35 
   36 $mc[1] = new_multiple_choice();
   37 $mc[1]->qa('If P(A) = 0.20, P(B) = 0.30 and P(A and B) = 0.06, then A and B are: ',
   38     'independent events'
   39 );
   40 $mc[1]->extra(
   41     'dependent events',
   42     'mutually exclusive events',
   43     'complementary events'
   44 );
   45 
   46 
   47 $mc[2] = new_multiple_choice();
   48 $mc[2]->qa('If A and B are mutually exclusive events with P(A) = 0.70, then P(B):',
   49     'cannot be larger than 0.30'
   50 );
   51 $mc[2]->extra(
   52     'can be any value between 0 and 1',
   53     'can be any value between 0 and 0.70',
   54     'cannot be smaller than 0.30'
   55 );
   56 
   57 
   58 $mc[3] = new_multiple_choice();
   59 $mc[3]->qa('A useful graphical method of constructing the sample space for an experiment is:',
   60     'a tree diagram'
   61 );
   62 $mc[3]->extra(
   63     'a pie chart',
   64     'a histogram',
   65     'an ogive'
   66 );
   67 
   68 
   69 
   70 $mc[4] = new_multiple_choice();
   71 $mc[4]->qa('Two events A and B are said to be independent if:',
   72     '\(P(A \mbox{ and } B) = P(A)\cdot P(B)\)'
   73 );
   74 
   75 $mc[4]->extra(
   76     '\(P(A \mbox{ and } B) = P(A) + P(B)\)',
   77     '\(P(A|B) = P(B)\)',
   78     '\(P(B|A) = P(A)\)'
   79 );
   80 
   81 
   82 $mc[5] = new_multiple_choice();
   83 $mc[5]->qa('Two events A and B are said to be mutually exclusive if:',
   84     '\(P(A \mbox{ and } B) = 0\)'
   85 );
   86 $mc[5]->extra(
   87     '\(P(A|B) = 1\)',
   88     '\(P(B|A) = 1\)',
   89     '\(P(A \mbox{ and } B) = 1\)'
   90 );
   91 
   92 
   93 
   94 $a = random(1,5,1);
   95 $b = random(1,5,1);
   96 while ($a == $b) {
   97     $b = random(1,5,1);
   98 }
   99 
  100 
  101 BEGIN_TEXT
  102 $PAR
  103 \{ $mc[$a]->print_q() \}
  104 
  105 \{ $mc[$a]->print_a() \}
  106 $PAR
  107 \{ $mc[$b]->print_q() \}
  108 
  109 \{ $mc[$b]->print_a() \}
  110 $PAR
  111 
  112 END_TEXT
  113 
  114 ANS(radio_cmp($mc[$a]->correct_ans));
  115 ANS(radio_cmp($mc[$b]->correct_ans));
  116 
  117 ENDDOCUMENT();       # This should be the last executable line in the problem.