document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=615243>Question 615243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x has normal distribution with a mean of 80.0 and a standard deviation of 3.5. Find the following:\r<BR>\n" );
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document.write( "A)P(x<75.0)\r<BR>\n" );
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document.write( "B) P(78.0<x<83.0)\r<BR>\n" );
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document.write( "C) P(x>85.0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387034 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=387034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x has normal distribution with a mean of 80.0 and a standard deviation of 3.5. Find the following: <BR>\n" );
document.write( "A)P(x<75.0)<BR>\n" );
document.write( "z(75) = (75-80)/3.5 = -5/3.5 = -1.4286<BR>\n" );
document.write( "P(x < 75) = P(z < -1.4286) == normalcdf(-100,-1.4386) = 0.0766<BR>\n" );
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document.write( "B) P(78.0 <BR>\n" );
document.write( "Incomplete question.<BR>\n" );
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document.write( "C) P(x>85.0)<BR>\n" );
document.write( "z(85) = (85-80)/3.5 = 5/3.5 = +1.4386<BR>\n" );
document.write( "P(x> 85) = 0.0766<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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