document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200058>Question 1200058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/25 where x goes between 4 and 29 minutes. Round answers to 4 decimal places when possible.\r<BR>\n" );
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document.write( "a. This is a <BR>\n" );
document.write( "Uniform<BR>\n" );
document.write( "Correct distribution.\r<BR>\n" );
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document.write( "b. It is a <BR>\n" );
document.write( "Continuous<BR>\n" );
document.write( "Correct distribution.\r<BR>\n" );
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document.write( "c. The mean of this distribution is <BR>\n" );
document.write( "16.5<BR>\n" );
document.write( "Correct\r<BR>\n" );
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document.write( "d. The standard deviation is <BR>\n" );
document.write( "7.2169<BR>\n" );
document.write( "Correct\r<BR>\n" );
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document.write( "e. Find the probability that the time will be at most 12 minutes. <BR>\n" );
document.write( "0.32<BR>\n" );
document.write( "Correct\r<BR>\n" );
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document.write( "f. Find the probability that the time will be between 5 and 9 minutes. <BR>\n" );
document.write( "0.16<BR>\n" );
document.write( "Correct\r<BR>\n" );
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document.write( "g. Find the 41st percentile. <BR>\n" );
document.write( "14.25<BR>\n" );
document.write( "Correct\r<BR>\n" );
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document.write( "h. Find the probability that the time is more than 23 minutes given (or knowing that) it is at least 8 minutes. <BR>\n" );
document.write( "0.2857<BR>\n" );
document.write( "Incorrect<BR>\n" );
document.write( "0.7143\r<BR>\n" );
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document.write( "I only need help for letter H. The answer for letter H is 0.7143 but I need help understanding how they got the answer.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #834116 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=834116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Part H\r<BR>\n" );
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document.write( "The gap from 23 to 29 is 6 units<BR>\n" );
document.write( "The gap from 8 to 29 is 21 units<BR>\n" );
document.write( "6/21 = 0.2857 approximately is the probability of being to the right of 23, given we automatically know we're to the right of 8.\r<BR>\n" );
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document.write( "The answer to part H should be 0.2857\r<BR>\n" );
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document.write( "It's curious how your teacher got 0.7143\r<BR>\n" );
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document.write( "My guess is that s/he mistakenly did 1-0.2857 = 0.7143<BR>\n" );
document.write( "Or perhaps your teacher meant to ask \"Find the probability that the time is <font color=red size=4>less</font> than 23 minutes given (or knowing that) it is at least 8 minutes.\"<BR>\n" );
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