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| 1 : | jjholt | 451 | ## DESCRIPTION |
| 2 : | jjholt | 459 | ## Conditional Probability |
| 3 : | jjholt | 451 | ## ENDDESCRIPTION |
| 4 : | |||
| 5 : | jjholt | 459 | ## KEYWORDS('probability', 'conditional') |
| 6 : | jjholt | 451 | ## naw tagged this problem. |
| 7 : | |||
| 8 : | jjholt | 459 | ## DBsubject('Probability') |
| 9 : | ## DBchapter('Theory') | ||
| 10 : | ## DBsection('Conditional Probability') | ||
| 11 : | jjholt | 451 | ## Date('6/13/2005') |
| 12 : | ## Author('Nolan A. Wages') | ||
| 13 : | ## Institution('UVA') | ||
| 14 : | ## TitleText1('Statistics for Management and Economics') | ||
| 15 : | ## EditionText1('6') | ||
| 16 : | ## AuthorText1('Keller, Warrack') | ||
| 17 : | ## Section1() | ||
| 18 : | ## Problem1() | ||
| 19 : | |||
| 20 : | |||
| 21 : | DOCUMENT(); # This should be the first executable line in the problem. | ||
| 22 : | |||
| 23 : | loadMacros( | ||
| 24 : | "PG.pl", | ||
| 25 : | "PGbasicmacros.pl", | ||
| 26 : | "PGchoicemacros.pl", | ||
| 27 : | "PGanswermacros.pl", | ||
| 28 : | "PGnumericalmacros.pl", | ||
| 29 : | "PGstatisticsmacros.pl", | ||
| 30 : | "PGauxiliaryFunctions.pl" | ||
| 31 : | ); | ||
| 32 : | |||
| 33 : | |||
| 34 : | |||
| 35 : | |||
| 36 : | TEXT(beginproblem()); | ||
| 37 : | $showPartialCorrectAnswers = 1; # Change to 0 to shut off separate answer display. | ||
| 38 : | ## install_problem_grader(~~&std_problem_grader); # Uncomment to turn off partial credit. | ||
| 39 : | |||
| 40 : | |||
| 41 : | $a = random(75,85,1); | ||
| 42 : | $b = random(25,35,1); | ||
| 43 : | $c = random(10,15,1); | ||
| 44 : | $a1 = random(35,45,1); | ||
| 45 : | $d = .01*$a; | ||
| 46 : | $e = .01*$b; | ||
| 47 : | $f = .01*$c; | ||
| 48 : | $d1 = .01*$a1; | ||
| 49 : | $g = 1-$f; | ||
| 50 : | $g1 = 1-$d1; | ||
| 51 : | |||
| 52 : | BEGIN_TEXT | ||
| 53 : | $PAR | ||
| 54 : | Bad gums may mean a bad heart. Researchers discovered | ||
| 55 : | that $a$PERCENT of people who have suffered a heart | ||
| 56 : | attack had periodontal disease, an inflammation of | ||
| 57 : | the gums. Only $b$PERCENT of healthy people have | ||
| 58 : | this disease. Suppose that in a certain community | ||
| 59 : | heart attacks are quite rare, occurring with only | ||
| 60 : | $c$PERCENT probability. | ||
| 61 : | $PAR | ||
| 62 : | A. If someone has periodontal | ||
| 63 : | disease, what is the probability that he or she | ||
| 64 : | will have a heart attack? | ||
| 65 : | $PAR | ||
| 66 : | Probability = \{ans_rule(15)\} | ||
| 67 : | $PAR | ||
| 68 : | B. If $a1$PERCENT of the people in a community will have | ||
| 69 : | a heart attack, what is the probability that a person | ||
| 70 : | with periodontal disease will have a heart attack? | ||
| 71 : | $PAR | ||
| 72 : | Probability = \{ans_rule(15)\} | ||
| 73 : | |||
| 74 : | $BR | ||
| 75 : | |||
| 76 : | END_TEXT | ||
| 77 : | |||
| 78 : | apizer | 1479 | ANS(num_cmp(($d*$f)/(($d*$f)+($g*$e))) ); |
| 79 : | ANS(num_cmp(($d*$d1)/(($d*$d1)+($g1*$e))) ); | ||
| 80 : | jjholt | 451 | |
| 81 : | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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