document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183805>Question 1183805</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A continuous random variable has a uniform distribution. Find the probability of the given event.\r<BR>\n" );
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document.write( "Suppose the reaction time x (in minutes) of a certain chemical process follows a uniform probability distribution with  5≤x≤15 . Find the probability that the given reaction time is greater than 8 min. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814276 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</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=814276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A continuous random variable has a uniform distribution. Find the probability of the given event.<BR>\n" );
document.write( "Suppose the reaction time x (in minutes) of a certain chemical process follows a uniform <BR>\n" );
document.write( "probability distribution with 5≤x≤15 . Find the probability that the given reaction time <BR>\n" );
document.write( "is greater than 8 min.<BR>\n" );
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document.write( "Yesterday &nbsp;I &nbsp;solved a &nbsp;TWIN &nbsp;problem at this link\r<BR>\n" );
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document.write( "<A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1183790.html>https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1183790.html</A>\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1183790.html\r<BR>\n" );
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document.write( "So, &nbsp;this time I will be short.\r<BR>\n" );
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document.write( "    P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815-8%29%2F%2815-5%29 ALIGN=MIDDLE  ALT=\"%2815-8%29%2F%2815-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F10 ALIGN=MIDDLE  ALT=\"7%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.7 = 70%.    <U>ANSWER</U>\r\n" );
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document.write( "As always in such problems, &nbsp;you divide the &nbsp;\"favorable\" &nbsp;time interval length by the base interval length.\r<BR>\n" );
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document.write( "It is how the uniform distribution probability works.\r<BR>\n" );
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document.write( "<U>Comment from student</U> : &nbsp;&nbsp;Thank you for your help! I &nbsp;checked the link and I noticed that problem was &nbsp;\"less than\" <BR>\n" );
document.write( "while this one is \"greater than). &nbsp;So for either way, they are solved the same?\r<BR>\n" );
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document.write( "<U>My response</U> : &nbsp;&nbsp;You are right. &nbsp;The major idea is the same\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=favorable_time_interval%2Fbase_time+interval ALIGN=MIDDLE  ALT=\"favorable_time_interval%2Fbase_time+interval\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The only thing is to take care to calculate the numerator and denominator correctly.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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