document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=926515>Question 926515</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the number of friends a randomly chosen Facebook member has is normally distributed with mean 300 and standard deviation 70.\r<BR>\n" );
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document.write( "A simple random sample of 50 members is taken. Determine the probability that the sample average number of friends is fewer than 310. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562318 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=562318\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose the number of friends a randomly chosen Facebook member has is normally distributed with mean 300 and standard deviation 70.<BR>\n" );
document.write( " A simple random sample of 50 members is taken. Determine the probability that the sample average number of friends is fewer than 310.<BR>\n" );
document.write( "z(300) = (310-300)/(70/sqrt(50)) = 10/9.8999= 1.0102<BR>\n" );
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document.write( "P(x-bar < 310) = P(z < 1.0102) = 0.8438<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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