document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162283>Question 1162283</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A quality-control procedure for testing digital cameras consists of drawing two cameras at random<BR>\n" );
document.write( "from a lot of 100 without replacing the first camera before drawing the second. If both are defective,<BR>\n" );
document.write( "the entire lot is rejected. If the lot contains 10 defective cameras, assume that each camera in the<BR>\n" );
document.write( "lot has an equal chance of being drawn. Answer the following questions.<BR>\n" );
document.write( "a) Find the probability of getting a defective camera on the first draw. (2 marks)<BR>\n" );
document.write( "b) List TWO possible events from the experiment. (4 marks)<BR>\n" );
document.write( "c) Draw a well-labelled tree diagram to show the all the joint probabilities. (10 marks)<BR>\n" );
document.write( "d) Are the event “first camera drawn is defective” and the event “second camera drawn is<BR>\n" );
document.write( "defective” mutually exclusive? Justify your answer. (3 marks)<BR>\n" );
document.write( "e) Are the event “first camera drawn is defective” and the event “second camera drawn is<BR>\n" );
document.write( "defective” independent or not? Justify your answer. (5 marks)<BR>\n" );
document.write( "f) Use the appropriate multiplication rule to obtain the probability that the entire lot being<BR>\n" );
document.write( "rejected. (3 marks)<BR>\n" );
document.write( "g) If one of the cameras drawn is defective, then another two cameras will be drawn from the<BR>\n" );
document.write( "second lot. Find the probability that the two cameras will be drawn from second lot of 100<BR>\n" );
document.write( "cameras. (3 marks) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786071 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=786071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. That is 10/100 or 1/10<BR>\n" );
document.write( "b. DD DN (others that work are ND and NN)<BR>\n" );
document.write( "c. <BR>\n" );
document.write( "D(0.1)------D(1/11)<BR>\n" );
document.write( "-------N (10/11)\r<BR>\n" );
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document.write( "N-(0.9)-----D(10/99)<BR>\n" );
document.write( "-------N(89/99)\r<BR>\n" );
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document.write( "d. No, because if the first camera is defective the second camera certainly can be.<BR>\n" );
document.write( "e. Not independent, because the result of the first changes the probability of the second, not a lot but definitely different.<BR>\n" );
document.write( "f. chance 1st is defective is 1/10 and the second is 9/99 or 1/11. That product is the answer and it is 1/110.<BR>\n" );
document.write( "g. chance 1st is defective and 2nd is not or 1st is normal and the 2nd defective is 1/10*90/99 (10/11) and 90/100*10/99. That is 1/11+1/11 or 2/11. </SPAN>\n" );
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