document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=295886>Question 295886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x has a normal distribution with a mean of 70.0 and a standard deviation of 3.0.  Find the following probabilities.\r<BR>\n" );
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document.write( "a.  P(x < 67.0)\r<BR>\n" );
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document.write( "b.  P(67.0 < x < 73.0)\r<BR>\n" );
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document.write( "c.  P (x > 74.0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213287 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=213287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  x has a normal distribution with a mean of 70.0 and a standard deviation of 3.0. Find the following probabilities. <BR>\n" );
document.write( "a. P(x < 67.0)<BR>\n" );
document.write( "z(67) = (67-70)/3 = -1<BR>\n" );
document.write( "P(x < 67) = P(z < -1) = 0.1587<BR>\n" );
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document.write( "b. P(67.0 < x < 73.0)<BR>\n" );
document.write( "z(67) = -1<BR>\n" );
document.write( "z(73) = (73-70)/3 = 1<BR>\n" );
document.write( "P(67 < x < 73) = P(-1 < z < 1)= 0.6827<BR>\n" );
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document.write( "c. P (x > 74.0)<BR>\n" );
document.write( "z(74) = (74-70)/3 = 4/3<BR>\n" );
document.write( "P(x > 74) = P(z > 4/3) = 0.0912<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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