document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145326>Question 1145326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am at a complete loss as to how to complete the following table. I have looked through my textbook, which is a cut and paste edition my professor made, and I do not see this formula anywhere. I can assume it is something very easy, but my mind just can not figure it out. Thanks in advance for your assistance.\r<BR>\n" );
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document.write( "Suppose the proportion of a certain camera which are defective is 0.075. A sample of 4 cameras is selected at random. Define the random variable x as the number of defective cameras in the sample.\r<BR>\n" );
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document.write( "Write the probability distribution for x. Round each entry to five decimal places exactly.<BR>\n" );
document.write( "k  P(x=k)<BR>\n" );
document.write( "0 	<BR>\n" );
document.write( "1 	<BR>\n" );
document.write( "2 	<BR>\n" );
document.write( "3 	<BR>\n" );
document.write( "4 	 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #766562 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=766562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "This is a straightforward application of binomial probability.  The probability that a particular camera is faulty is 0.075, so the probability that it is not defective is 0.925.<br><BR>\n" );
document.write( "You won't learn anything by having us do the calculations for you, so I leave that to you.  Here is what you need<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x=0%29+=+%284C0%29%2A%280.075%29%5E0%2A%280.925%29%5E4 ALIGN=MIDDLE  ALT=\"P%28x=0%29+=+%284C0%29%2A%280.075%29%5E0%2A%280.925%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x=1%29+=+%284C1%29%2A%280.075%29%5E1%2A%280.925%29%5E3 ALIGN=MIDDLE  ALT=\"P%28x=1%29+=+%284C1%29%2A%280.075%29%5E1%2A%280.925%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x=2%29+=+%284C2%29%2A%280.075%29%5E2%2A%280.925%29%5E2 ALIGN=MIDDLE  ALT=\"P%28x=2%29+=+%284C2%29%2A%280.075%29%5E2%2A%280.925%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x=3%29+=+%284C3%29%2A%280.075%29%5E3%2A%280.925%29%5E1 ALIGN=MIDDLE  ALT=\"P%28x=3%29+=+%284C3%29%2A%280.075%29%5E3%2A%280.925%29%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x=4%29+=+%284C4%29%2A%280.075%29%5E4%2A%280.925%29%5E0 ALIGN=MIDDLE  ALT=\"P%28x=4%29+=+%284C4%29%2A%280.075%29%5E4%2A%280.925%29%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To check your calculations you can verify that the sum of those probabilities is equal to 1. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );