document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515501>Question 515501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is my problem and solution, please assist as my instructor says it is incorrect.\r<BR>\n" );
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document.write( "Research on new juvenile delinquents revealed that 38% of them committed another crime.\r<BR>\n" );
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document.write( "(a)What is the probability that of the last 100 new juvenile delinquents put on probation, 30 or more will commit another crime?<BR>\n" );
document.write( "(b)What is the probability that 40 or fewer of the delinquents will commit another crime?<BR>\n" );
document.write( "(c)What is the probability that between 30 and 40 of the delinquents will commit another crime?\r<BR>\n" );
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document.write( "This is my workings which I got incorrect\r<BR>\n" );
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document.write( "4.	&#956; = n &#960; = 100(0.38)<BR>\n" );
document.write( "                   = 38<BR>\n" );
document.write( "      &#963;² = 100(0.38) (0.62)<BR>\n" );
document.write( "      &#963;² = 23.56<BR>\n" );
document.write( "      &#963; = &#8730;23.56<BR>\n" );
document.write( "      &#963; = 4.85 <BR>\n" );
document.write( "    <BR>\n" );
document.write( " a.   z = 38-29.5<BR>\n" );
document.write( "               4.85<BR>\n" );
document.write( "       Z = 1.753<BR>\n" );
document.write( "Associated probability = 0.4599<BR>\n" );
document.write( " Probability that of the last 100 new juvenile delinquents put on probation, 30 or more will commit another crime is 0.4599 + 0.5 = 0.9599\r<BR>\n" );
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document.write( "b. z = 40.5 – 38<BR>\n" );
document.write( "               4.85<BR>\n" );
document.write( "    z = 0.52<BR>\n" );
document.write( " Associated probability = 0.1985<BR>\n" );
document.write( "Probability that 40 or fewer of the delinquents will commit another crime is <BR>\n" );
document.write( "0.5 + 0.1985 = 0.6985\r<BR>\n" );
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document.write( "c. The probability that between 30 and 40 of the delinquents will commit another crime is 0.1985 + 0.4995 = 0.698<BR>\n" );
document.write( "           <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344024 by </B><A HREF=/tutors/aboutme.mpl?userid=drcole><B>drcole(72)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drcole><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=344024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The only mistake that I see in your solution is that, in your solution to part (c), you added 0.4995 to 0.1985, instead of 0.4599.\r<BR>\n" );
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document.write( "Also, you really should make the z-score in part (a) to be z = -1.753, since 29.5 is below the mean, but you have been taught this problem differently than I would teach it. </SPAN>\n" );
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