document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=871914>Question 871914</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ) <BR>\n" );
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document.write( "The table below shows the numbers of two- to five-bedroom houses in the Belmont neighborhood.\r<BR>\n" );
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document.write( "Number of Bedrooms      Frequency<BR>\n" );
document.write( "2	                12<BR>\n" );
document.write( "3	                40<BR>\n" );
document.write( "4	                70<BR>\n" );
document.write( "5	                3\r<BR>\n" );
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document.write( "What is the probability that a randomly selected house will have 3 or fewer bedrooms? <BR>\n" );
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document.write( "A) <BR>\n" );
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document.write( "0.560 <BR>\n" );
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document.write( "B) <BR>\n" );
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document.write( "0.416 <BR>\n" );
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document.write( "C) <BR>\n" );
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document.write( "0.320 <BR>\n" );
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document.write( "D) <BR>\n" );
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document.write( "0.584 <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #525951 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=525951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
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document.write( "    <th>Number of Bedrooms</th>\r\n" );
document.write( "    <th>Frequency</th>\r\n" );
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document.write( "    <TD >2</TD>\r\n" );
document.write( "    <TD >12</TD>\r\n" );
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document.write( "    <TD >3</TD>\r\n" );
document.write( "    <TD >40</TD>\r\n" );
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document.write( "    <TD >4</TD>\r\n" );
document.write( "    <TD >70</TD>\r\n" );
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document.write( "    <TD >5</TD>\r\n" );
document.write( "    <TD >3</TD>\r\n" );
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document.write( "There are 12+40+70+3 = 125 homes being surveyed.\r<BR>\n" );
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document.write( "\"3 or fewer\" means \"at most 3\" (think of it as the ceiling or as high as you can go). X = 2 is the lowest you can go on the table while X = 3 is the highest we want. So we just need to calculate P(X = 2) and P(X = 3) then add up them. The variable X is defined as X = number of bedrooms.\r<BR>\n" );
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document.write( "From the table, we get the following probabilities\r<BR>\n" );
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document.write( "P(X = 2) = 12/125<BR>\n" );
document.write( "P(X = 3) = 40/125\r<BR>\n" );
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document.write( "Use them to calculate P(X <= 3)\r<BR>\n" );
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document.write( "P(X <= 3) = P(X = 2) + P(X = 3)<BR>\n" );
document.write( "P(X <= 3) = 12/125 + 40/125<BR>\n" );
document.write( "P(X <= 3) = (12 + 40)/125<BR>\n" );
document.write( "P(X <= 3) = 52/125<BR>\n" );
document.write( "P(X <= 3) = 0.416\r<BR>\n" );
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document.write( "So the final answer is <font color=\"red\">0.416</font><BR>\n" );
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