document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=879486>Question 879486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In Problems 23–32, assume that the random variable X is normally <BR>\n" );
document.write( "distributed, with mean m = 50 and standard deviation s = 7. <BR>\n" );
document.write( "Compute the following probabilities. Be sure to draw a normal <BR>\n" );
document.write( "curve with the area corresponding to the probability shaded\r<BR>\n" );
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document.write( "  24.     P(X > 65)<BR>\n" );
document.write( "   28.  P(56 < X < 68)\r<BR>\n" );
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document.write( "thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #530824 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=530824\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Population: m = 50 and standard deviation s = 7. <BR>\n" );
document.write( "P(x > 65) = 1- P(z &#8804; 15/7) =  1- P(z &#8804; 2.1429) = 1 -.9839 =  .016  0r 1.16%<BR>\n" );
document.write( "P(x > 65): shade area to the right of z = 2.1429<BR>\n" );
document.write( "for 28.  P(z &#8804; 2.5714) - P(z &#8804; .8571)  find z's and shade area between them<BR>\n" );
document.write( "For the normal distribution: Below:  z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.  <BR>\n" );
document.write( "Area under the standard normal curve to the left of the particular z is P(z)<BR>\n" );
document.write( "Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50%  to the right<BR>\n" );
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