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# View of /trunk/NationalProblemLibrary/UVA-Stat/setStat212-Homework04/stat212-HW04-13.pg

Tue Jul 3 21:36:52 2007 UTC (5 years, 11 months ago) by jjholt
File size: 1719 byte(s)
```Added stat problems.  Tags to be fixed soon.
```

```    1 ## DESCRIPTION
2 ##  Statistics: Probability
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('statistics', 'probability')
6 ## naw tagged this problem.
7
8 ## DBchapter('Probability')
9 ## DBsection()
10 ## Date('6/13/2005')
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
23 "PG.pl",
24 "PGbasicmacros.pl",
25 "PGchoicemacros.pl",
27 "PGnumericalmacros.pl",
28 "PGstatisticsmacros.pl",
29 "PGauxiliaryFunctions.pl"
30 );
31
32
33
34
35 TEXT(beginproblem());
36 \$showPartialCorrectAnswers = 1;  # Change to 0 to shut off separate answer display.
38
39
40 \$a = random(.50,.60,.01);
41 \$b = random(.70,.80,.01);
42 \$c = random(.80,.90,.01);
43
44 BEGIN_TEXT
45 \$PAR
46 The chartered financial analyst (CFA) is a designation
47 earned after taking three annual exams (CFA I,II, and III).
48 The exams are taken in early June.  Candidates who pass
49 an exam are eligible to take the exam for the next level
50 in the following year.  The pass rates for levels I, II,
51 and III are \$a, \$b, and \$c, respectively.  Suppose that
52 3,000 candidates take the level I exam, 2,500 take the
53 level II exam and 2,000 take the level III exam.  A randomly
54 selected candidate who took a CFA exam tells you that he
55 has passed the exam.  What is the probability that he
56 took the CFA I exam?
57 \$PAR
58 Probability = \{ans_rule(15)\}
59
60 \$BR
61
62 END_TEXT
63
64 &ANS(num_cmp((0.4*\$a)/((0.4*\$a)+((1/3)*\$b)+((2/7.5)*\$c))) );
65
66 ENDDOCUMENT();       # This should be the last executable line in the problem.
```