document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=245191>Question 245191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> X has a normal distribution with a mean of 75.0 and a standard deviation of 3.5. Find the following probabilities:<BR>\n" );
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document.write( "(A) P(x < 73.0)<BR>\n" );
document.write( "(B) P(72.0 < x < 78.0) <BR>\n" );
document.write( "(C) P(x>79.0) <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 #179207 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=179207\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X has a normal distribution with a mean of 75.0 and a standard deviation of 3.5. Find the following probabilities:\r<BR>\n" );
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document.write( "(A) P(x < 73.0)<BR>\n" );
document.write( "z(73) = (73-75)/(3.5) = -2/3.5 = -0.571<BR>\n" );
document.write( "P(x < 73) = P(z < -0.571) = 0.284<BR>\n" );
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document.write( "(B) P(72.0 < x < 78.0)<BR>\n" );
document.write( "z(72) = (72-75)/3.5 = -0.857<BR>\n" );
document.write( "z(78) = (78-75)/3.5 = +0.857<BR>\n" );
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document.write( "P(72 < x < 78) = P(-857 < z < 0.857) = 0.609<BR>\n" );
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document.write( "(C) P(x>79.0)<BR>\n" );
document.write( "z(79) = (79-75)/3.5 = 1.143<BR>\n" );
document.write( "P(x > 79) = P(z > 1.143) = 0.127<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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