document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328408>Question 328408</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A production line manufactures 5-gal(18.93-liter) gasoline cans to a volume tolerance of 5%. The probability of any one can being out of tolerance is 0.03. If 4 cans are selected at random:<BR>\n" );
document.write( "a)What is the probability they are all out of tolerance?<BR>\n" );
document.write( "b)What is the probability of exactly two being out?<BR>\n" );
document.write( "c)What is the probability that all are in tolerance? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235267 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) P(4 bad)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.03%29%280.03%29%280.03%29%280.03%29=8.1x10%5E%28-7%29 ALIGN=MIDDLE  ALT=\"%280.03%29%280.03%29%280.03%29%280.03%29=8.1x10%5E%28-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "b) P(4 good)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.97%29%5E4=0.8853 ALIGN=MIDDLE  ALT=\"%280.97%29%5E4=0.8853\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Look at all of the possible combinations of exactly 2 bad (G-good, B-bad)<BR>\n" );
document.write( "GGBB<BR>\n" );
document.write( "GBGB<BR>\n" );
document.write( "GBBG<BR>\n" );
document.write( "BGGB<BR>\n" );
document.write( "BGBG<BR>\n" );
document.write( "BBGG<BR>\n" );
document.write( "There are 6 of them.<BR>\n" );
document.write( "Their individual probabilities are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=%280.97%29%5E2%280.03%29%5E2=0.00084681 ALIGN=MIDDLE  ALT=\"P=%280.97%29%5E2%280.03%29%5E2=0.00084681\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since there are 6 of them,<BR>\n" );
document.write( "P(exactly 2 bad)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%280.00084681%29=0.00508 ALIGN=MIDDLE  ALT=\"6%280.00084681%29=0.00508\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "c) P(4 good)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.97%29%5E4=0.8853 ALIGN=MIDDLE  ALT=\"%280.97%29%5E4=0.8853\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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