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# View of /trunk/NationalProblemLibrary/UVA-Stat/setStat212-Homework05/stat212-HW05-01.pg

Tue Jul 3 21:36:52 2007 UTC (5 years, 10 months ago) by jjholt
File size: 1888 byte(s)
Added stat problems.  Tags to be fixed soon.


    1 ## DESCRIPTION
2 ## Statistics: Random variables
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('statistics', 'random variables')
6 ## CMMK tagged this problem.
7
8 ## DBchapter('Random Variables')
9 ## DBsection()
10 ## Date('6/24/2005')
11 ## Author('Cristina Murray-Krezan')
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
23 "PG.pl",
24 "PGbasicmacros.pl",
25 "PGchoicemacros.pl",
27 "PGnumericalmacros.pl",
28 "PGstatisticsmacros.pl",
29 "PGauxiliaryFunctions.pl"
30 );
31
32 TEXT(beginproblem());
33 $showPartialCorrectAnswers = 1; 34 ## install_problem_grader(~~&std_problem_grader); 35 36$a7 = -1;
37
38 while ($a7 < 0) { 39$a0 = random(.004,.005,.0001);
40 $a1 = random(.024,.025,.0001); 41$a2 = random(.309,.310,.0001);
42 $a3 = random(.339,.340,.0001); 43$a4 = random(.219,.220,.0001);
44 $a5 = random(.079,.080,.0001); 45$a6 = random(.018,.019,.0001);
46 $a7 = 0.0001*floor(10000*(1-($a0+$a1+$a2+$a3+$a4+$a5+$a6))+.5);
47 }
48
49 BEGIN_TEXT
50 $PAR Using historical records, the personnel manager of a plant 51 has determined the probability of $$X$$, the number of employees 52 absent per day. It is 53$PAR
54 $BCENTER 55 \{begintable(9)\} 56 \{row("X", "0", "1", "2", "3", "4", "5", "6", "7")\} 57 \{row("P(X)",$a0, $a1,$a2, $a3,$a4, $a5,$a6, $a7)\} 58 \{endtable()\} 59$ECENTER
60
61 $PAR 62 Find the following probabilities. 63$PAR
64 A. $$P(2 \leq X \leq 5)$$
65 $PAR 66 Probability = \{ans_rule(15)\} 67$PAR
68 B. $$P(X > 5)$$
69 $PAR 70 Probability = \{ans_rule(15)\} 71$PAR
72 C.$$P(X < 4)$$
73 $PAR 74 Probability = \{ans_rule(15)\} 75 76$PAR
77
78 END_TEXT
79
80 ANS(num_cmp($a2+$a3+$a4+$a5));
81 ANS(num_cmp($a6+$a7));
82 ANS(num_cmp($a0+$a1+$a2+$a3));
83
84
85 ENDDOCUMENT();       # This should be the last executable line in the problem.