document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063395>Question 1063395</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 7c A machine making electrical resistors has a probability of 0.2 that the values will fall outside the target range. What is the probability of randomly picking 30 from a batch of 100 that will be outside the target?<BR>\n" );
document.write( "What are the mean and the standard deviation for this distribution?\r<BR>\n" );
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document.write( "Thank for your Answer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #678553 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=678553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We will us the binomial probability(P) distribution<BR>\n" );
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document.write( "P ( k = 30 ) = 100C30 * (0.2)^30 * (0.8)^70 = 0.005<BR>\n" );
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document.write( "Note that 100C30 = 100! / (30! * (100-30)!)<BR>\n" );
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document.write( "mean of the sample is 0.02<BR>\n" );
document.write( "standard deviation of the sample is square root(0.20 * 0.80/100) = 0.04<BR>\n" );
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