document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167241>Question 167241</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose the prices of all three year old porsche 911 sports cars have a normal distribution with a mean of 48,125 and a standard deviation of 1600. what is the probability that a randomly selected three year old porsche 911 will sell for a price between 46,000 and 49,000? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123495 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=123495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> suppose the prices of all three year old porsche 911 sport)s cars have a normal distribution with a mean of 48,125 and a standard deviation of 1600. what is the probability that a randomly selected three year old porsche 911 will sell for a price between 46,000 and 49,000?<BR>\n" );
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document.write( "Determine the z-value of 46000 and of 49000<BR>\n" );
document.write( "z(46000) = (46000-48125)/1600 = -1.328125..<BR>\n" );
document.write( "z(49000) = (49000-48125)/1600 = 875/1600 = 0.546875...<BR>\n" );
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document.write( "P(46000 < x < 49000) = P(-1.328125 < z < 0.546875..) = 0.6157<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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