document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=489203>Question 489203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> AM VERY CONFUSED...PLEASE HELP\r<BR>\n" );
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document.write( " X has a normal distribution with a mean of 80.0 and a standard deviation of 4.0. Find the following probabilities: SHOW ALL WORK\r<BR>\n" );
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document.write( "(A) P(x < 79.0)<BR>\n" );
document.write( "(B) P(78.0 < x < 83.0) <BR>\n" );
document.write( "(C) P(x > 86.0) (Points : 6) <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 #333600 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=333600\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X has a normal distribution with a mean of 80.0 and a standard deviation of 4.0. Find the following probabilities: SHOW ALL WORK <BR>\n" );
document.write( "(A) P(x < 79.0)<BR>\n" );
document.write( "z(79) = (79-80)/4 = -1/4<BR>\n" );
document.write( "P(x < 79) = P(z < -1/4) = normalcdf(-100,-1/4) = 0.4013<BR>\n" );
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document.write( "(B) P(78.0 < x < 83.0)<BR>\n" );
document.write( "z(78) = (78-80)/4 = -1/2<BR>\n" );
document.write( "z(83) = (83-80)/4 = 3/4<BR>\n" );
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document.write( "P(78.0 < x < 83.0) = P(-1/2 < z < 3/4) = 0.4648<BR>\n" );
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document.write( "(C) P(x > 86.0)<BR>\n" );
document.write( "z(86) = (86-80)/4 = 6/4 = 3/2<BR>\n" );
document.write( "--<BR>\n" );
document.write( "P(x > 86.0) = P(z > 3/2) = 0.2266<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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