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Fix bug 4837, convert to PGML, add solution #1169

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Jul 30, 2024
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Fix bug 4837, convert to PGML, add solution #1169

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aa9de22
Fix bug 4837, convert to PGML, add solution.
gajennings Jul 30, 2024
6168260
Merge branch 'openwebwork:main' into main
gajennings Jul 30, 2024
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58 changes: 37 additions & 21 deletions OpenProblemLibrary/NAU/setProbability/ExpValueProbModel1.pg
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Original file line number Diff line number Diff line change
Expand Up @@ -17,44 +17,60 @@ DOCUMENT(); # This should be the first executable line in the problem.

loadMacros(
"PGstandard.pl",
"PGchoicemacros.pl",
"PGgraphmacros.pl",
"MathObjects.pl",
"PGML.pl",
"niceTables.pl",
"PGcourse.pl"
);

TEXT(beginproblem());
$showPartialCorrectAnswers = 1;
Context("Numeric");

@seq=();
for (0..12){
push @seq, $_/2;
}

@out = random_subset(4,@seq);

@out=();
push @out, random(0,6,.5) foreach 0..3;
@outcome=num_sort(@out);

$a=random(0.05,.40,.05);
$b=random(0.05,.40,.05);
$ans1=1-$a-$b-0.15;
$ans1=Real(1-$a-$b-0.15);
@prob=($a,$b,0.15,$ans1);


$ans=0;
$ans2=0;
for($i=0; $i<4; $i++){
$ans=$ans+$outcome[$i]*$prob[$i];
$ans2=$ans2+$outcome[$i]*$prob[$i];
}
$ans2=Real($ans2);

$tab = DataTable(
[
["Outcome", $outcome[0], $outcome[1], $outcome[2], $outcome[3]],
["Probability", $prob[0], $prob[1], $prob[2], ans_rule(5)]
],
horizontalrules => 1,
texalignment => 'l|c|c|c|'
);

BEGIN_PGML

Below is a partially complete probability model. Enter the probability for the final outcome.

[@ $tab @]*

Find the expected value of the probability model. [__]{$ans1}{30}
END_PGML

BEGIN_TEXT
ANS($ans2->cmp());

Below is a partially complete probability model. Enter the probability for the final outcome. $BR
\{begintable(9)\}
\{row("Outcome", $outcome[0], $outcome[1], $outcome[2], $outcome[3])\}
\{row("Probability", $prob[0], $prob[1], $prob[2], ans_rule(5))\}
\{endtable()\} $BR $BR
Find the expected value of the probability model. $BR $BR
\{ans_rule(30)\}
$BR
END_TEXT
BEGIN_PGML_SOLUTION
The probabilities must add up to 1, so the probability that the outcome equals [$outcome[3]] is 1-([$prob[0]]+[$prob[1]]+[$prob[2]]) = [$ans1] .

ANS(num_cmp($ans1));
ANS(num_cmp($ans));
The expected value is ([$prob[0]])([$outcome[0]])+([$prob[1]])([$outcome[1]])+([$prob[2]])([$outcome[2]])+([$ans1])([$outcome[3]])=[$ans2] .
END_PGML_SOLUTION

ENDDOCUMENT(); # This should be the last executable line in the problem.