| Hello,
There seem to be errors in problems on normal distribution using normal_prob function. For example the code :
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DOCUMENT(); # This should be the first executable line in the problem.
loadMacros(
PG.pl,
PGbasicmacros.pl,
PGchoicemacros.pl,
PGanswermacros.pl,
PGnumericalmacros.pl,
PGstatisticsmacros.pl
);
TEXT(beginproblem());
$showPartialCorrectAnswers = 1;
$mu = random(60,80,5);
$sigma = random(5,10,.1);
$a = random(50,$mu,5);
$b = random(50,$mu,5);
while($a==$b) {$b = random(60,80,5);}
$c = random(20,40,1);
$xa = ($a-$mu)/$sigma;
$xb = ($b-$mu)/$sigma;
$xc = ($c-$mu)/$sigma;
$ans1 = normal_prob($xa, "infty");
$ans2 = normal_prob(-"infty", $xb);
BEGIN_TEXT
The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is
recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to
be ($mu) with a standard deviation of ($sigma). Assume that the distribution is approximately normal. $PAR
(a) ( ) What is the probability that an elite athlete has a maximum oxygen uptake of at least ($a) ml/kg? $PAR
answer: {ans_rule(10)} $PAR
(b) ( ) What is the probability that an elite athlete has a maximum oxygen uptake of ($b) ml/kg or lower? $PAR
answer: {ans_rule(10)} $PAR
(c) ( ) Consider someone with a maximum oxygen uptake of ($c) ml/kg. Is it likely that this person is an elite athlete?
Write "YES" or "NO." $PAR
answer: {ans_rule(10)}
END_TEXT
ANS(num_cmp($ans1, tol=>0.01));
ANS(num_cmp($ans2, tol=>0.01));
ANS(str_cmp("NO"));
ENDDOCUMENT(); # This should be the last executable line in the problem.
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... causes the following warning messages ...
------------------------------------------------------------------
Compiler warnings:
* Odd number of elements in hash assignment at (eval 158) line 446.
##More details:
-------- PG_priv::romberg called at (eval 159) line 64
---- PG_priv::normal_prob called at (eval 54) line 32
---- PG_priv::__ANON__ called at /usr/local/lib/perl5/5.6.1/i686-linux/Safe.pm line 222
---- Safe::reval called at /usr/local/webwork/system/lib//PGtranslator.pm line 733
---- PGtranslator::translate called at /usr/local/webwork/system/cgi/cgi-scripts/processProblem8.pl line 445
-----------------------------------
* This option |8| is not recognized in this subroutine
HASH(0x8aefc44)
8
=>
at (eval 140) line 3747.
##More details:
-------- PG_priv::set_default_options called at (eval 158) line 447
---- PG_priv::romberg called at (eval 159) line 64
---- PG_priv::normal_prob called at (eval 54) line 32
---- PG_priv::__ANON__ called at /usr/local/lib/perl5/5.6.1/i686-linux/Safe.pm line 222
---- Safe::reval called at /usr/local/webwork/system/lib//PGtranslator.pm line 733
---- PGtranslator::translate called at /usr/local/webwork/system/cgi/cgi-scripts/processProblem8.pl line 445
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... Any idea of what is happening? Appreciate your help
Marat Sadykov, Columbia
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