document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=424083>Question 424083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose X is a normally distributed random variable with the mean=10.1 and standard deviation=3.6. Find each of the following probabilities:<BR>\n" );
document.write( "P(10.1<=x<=15.6)<BR>\n" );
document.write( "and <BR>\n" );
document.write( "P(x>=8)<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 #295733 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=295733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose X is a normally distributed random variable with the mean=10.1 and standard deviation=3.6. <BR>\n" );
document.write( "Find each of the following probabilities:<BR>\n" );
document.write( "P(10.1<=x<=15.6)<BR>\n" );
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document.write( "z(10.1) = (10.1-10.1)/3.6 = 0<BR>\n" );
document.write( "z(15.6) = (15.6-10.1)/3.6 = 5.5/3.6 = 1.5278<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(10.1 <= x <= 15.6) = P(0<= z <=1.5278) = 0.4367<BR>\n" );
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document.write( "and <BR>\n" );
document.write( "P(x>=8)<BR>\n" );
document.write( "z(8) = (8-10.1)/3.6 = -0.58333<BR>\n" );
document.write( "P(x >= 8) = P(z >= -0.58333) = 0.7202<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================\r<BR>\n" );
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