document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183789>Question 1183789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't understand how to set up the equation to figure this out, please help.\r<BR>\n" );
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document.write( "A continuous random variable has a uniform distribution. Find the probability of the given event.\r<BR>\n" );
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document.write( "A calculus professor plans classes so carefully that the length of his classes is uniformly distributed between 100.0 min. and 105.0 min. Let x be the random variable representing the length of his randomly selected class. Find the probability the class is less than 102 min. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814254 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52776)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814254\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( " I don't understand how to set up the equation to figure this out, please help.<BR>\n" );
document.write( "A continuous random variable has a uniform distribution. Find the probability of the given event.<BR>\n" );
document.write( "A calculus professor plans classes so carefully that the length of his classes is uniformly distributed <BR>\n" );
document.write( "between 100.0 min. and 105.0 min. Let x be the random variable representing the length <BR>\n" );
document.write( "of his randomly selected class. Find the probability the class is less than 102 min.<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Take the time duration, which is over 100.0 minutes: it is  (102.0 min - 100.0 min) = 2.0 minutes,\r\n" );
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document.write( "and relate it to the duration of the basic time interval  (105.0 min - 100.0 min) = 5.0 minutes.\r\n" );
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document.write( "So, the ratio   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.4 = 40%  is the sough probability.\r\n" );
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document.write( "It is how the uniform probability distribution works.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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