document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160659>Question 1160659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> III.	Ten percent of computer parts produced by a certain supplier are defective. A sample of 10 parts was selected randomly. The computer parts produced are independent.<BR>\n" );
document.write( "a)	What is the probability that the sample contains exactly 3 defective ones? <BR>\n" );
document.write( "b)	What is the probability that the sample contains at most 2 defective ones? <BR>\n" );
document.write( "c)	What is the probability that the sample contains at least 3 defective ones? <BR>\n" );
document.write( "d)	What is the expected number and standard deviation of the defective computer parts produced?<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 #784090 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=784090\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> exactly 3 are defective is 10C3*0.9^7*0.1^3=0.0574<BR>\n" );
document.write( "at most 2 is p(0,1,2)<BR>\n" );
document.write( "p=0.9298 from binomcdf(10,.1,2)<BR>\n" );
document.write( "each of those is 0.3486, 0.3874 and 0.1937 respectively \r<BR>\n" );
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document.write( "at least 3 defective items is 1-at most 2, since those are complementary, and that is 1-0.9289=0.0702\r<BR>\n" );
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document.write( "E(X)=10*0.1=1 defective part<BR>\n" );
document.write( "Var(X)=1*0.9 (np(1-p)0=0.9<BR>\n" );
document.write( "sd is sqrt (V)=0.9487 or about 0.95 parts </SPAN>\n" );
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