document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162651>Question 1162651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let X be normally distributed with mean μ = 142 and standard deviation σ = 28. [You may find it useful to reference the z table.]\r<BR>\n" );
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document.write( "a. Find P(X ≤ 100). (Round \"z\" value to 2 decimal places and final answer to 4 decimal places.)\r<BR>\n" );
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document.write( "b. Find P(95 ≤ X ≤ 110). (Round \"z\" value to 2 decimal places and final answer to 4 decimal places.)\r<BR>\n" );
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document.write( "c. Find x such that P(X ≤ x) = 0.400. (Round \"z\" value and final answer to 3 decimal places.)\r<BR>\n" );
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document.write( "d. Find x such that P(X > x) = 0.800. (Round \"z\" value and final answer to 3 decimal places.)\r<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 #786488 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=786488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "=(100-142)/28=-1.5 <BR>\n" );
document.write( "prob z< -1.5 is 0.0668\r<BR>\n" );
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document.write( "z is -47/28 to -32/28<BR>\n" );
document.write( "or -1.68 to -1.14<BR>\n" );
document.write( "probability is 0.0807\r<BR>\n" );
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document.write( "inv norm for 0.400 is z=-0.253<BR>\n" );
document.write( "-0.253=(x-142)/28<BR>\n" );
document.write( "-7.084=x-142<BR>\n" );
document.write( "x=134.916\r<BR>\n" );
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document.write( "z=0.842<BR>\n" );
document.write( "0.842=(x-142)/28<BR>\n" );
document.write( "x=165.576\r<BR>\n" );
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