document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162929>Question 1162929</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 #786870 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=786870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z < (100-142)/28 which is -1.50<BR>\n" );
document.write( "probability 0.0668\r<BR>\n" );
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document.write( "z is between -47/28=-1.68 and -32/28=-1.14<BR>\n" );
document.write( "probability is 0.0807\r<BR>\n" );
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document.write( "z=-0.2533, and x is -0.2533=(x-mean)/sd<BR>\n" );
document.write( "or -7.094=x-mean<BR>\n" );
document.write( "pr x=134.906\r<BR>\n" );
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document.write( "z=0.842<BR>\n" );
document.write( "do same way<BR>\n" );
document.write( "23.576=x-mean<BR>\n" );
document.write( "x=165.576<BR>\n" );
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