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| 1 : | jjholt | 451 | ## DESCRIPTION |
| 2 : | ## Statistics: Probability | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | |||
| 5 : | ## KEYWORDS('statistics', 'probability') | ||
| 6 : | ## naw tagged this problem. | ||
| 7 : | |||
| 8 : | ## DBchapter('Probability') | ||
| 9 : | ## DBsection() | ||
| 10 : | ## Date('6/14/2005') | ||
| 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 = 1; | ||
| 34 : | ## install_problem_grader(~~&std_problem_grader); | ||
| 35 : | |||
| 36 : | $a1 = random(.20,.25,.01); | ||
| 37 : | $a2 = random(.10,.15,.01); | ||
| 38 : | $a3 = random(.50,.60,.01); | ||
| 39 : | $a4 = 1-($a1+$a2+$a3); | ||
| 40 : | |||
| 41 : | BEGIN_TEXT | ||
| 42 : | $PAR | ||
| 43 : | The owner of an appliance store is interested in the | ||
| 44 : | relationship between the price at which an item is | ||
| 45 : | sold (regular or sale price) and the customer's decision | ||
| 46 : | on whether to purchase and extended warranty. After | ||
| 47 : | analyzing her records, she produced the following joint | ||
| 48 : | probabilities: | ||
| 49 : | |||
| 50 : | \[ | ||
| 51 : | \begin{array}{c|c|c} | ||
| 52 : | & \mbox{Purchased} & \mbox{Did not purchase} \\ | ||
| 53 : | & \mbox{extended warranty} & \mbox{extended warranty} \\ \hline | ||
| 54 : | \mbox{Regular Price} & $a1 & $a3 \\ \hline | ||
| 55 : | \mbox{Sale Price} & $a2 & $a4 \\ | ||
| 56 : | \end{array} | ||
| 57 : | \] | ||
| 58 : | |||
| 59 : | |||
| 60 : | $PAR | ||
| 61 : | A. What is the probability that a customer who | ||
| 62 : | bought an item at the regular price purchased the | ||
| 63 : | extended warranty? | ||
| 64 : | $PAR | ||
| 65 : | Probability = \{ans_rule(15)\} | ||
| 66 : | $PAR | ||
| 67 : | B. What is the probability that a customer buys an extended warranty? | ||
| 68 : | $PAR | ||
| 69 : | Probability = \{ans_rule(15)\} | ||
| 70 : | |||
| 71 : | $PAR | ||
| 72 : | |||
| 73 : | END_TEXT | ||
| 74 : | |||
| 75 : | ANS(num_cmp($a1/($a1+$a3))); | ||
| 76 : | ANS(num_cmp($a1+$a2)); | ||
| 77 : | |||
| 78 : | |||
| 79 : | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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