document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=419778>Question 419778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a machine is producing parts that on average a 0.5 probability of being defective. if a random sample of 5 parts is selected and each part is tested, find the fallowing probabilities\r<BR>\n" );
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document.write( "a) getting exactly 1 defective part?\r<BR>\n" );
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document.write( "b)getting no defective part?\r<BR>\n" );
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document.write( "c) getting at most 1 defective part?\r<BR>\n" );
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document.write( "d) getting atleast 1 defective part e) getting 5 defective parts?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #293470 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=293470\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a machine is producing parts that on average a 0.5 probability of being defective. if a random sample of 5 parts is selected and each part is tested, find the fallowing probabilities<BR>\n" );
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document.write( "Probability Problems with n = 5 and p = 1/2:<BR>\n" );
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document.write( "a) getting exactly 1 defective part?<BR>\n" );
document.write( "P(x = 1) = 5C1*(1/2)(1/2)4 = 5/32<BR>\n" );
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document.write( "b)getting no defective part?<BR>\n" );
document.write( "P(x = 0) = 5C0(1/2)^0(1/2)^5 = (1/2)^5 = 1/32<BR>\n" );
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document.write( "c) getting at most 1 defective part?<BR>\n" );
document.write( "P(x = 0 or 1) = 1/32 + 5/32 = 6/32<BR>\n" );
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document.write( "d) getting atleast 1 defective part e) getting 5 defective parts?<BR>\n" );
document.write( "P(1<= x <=5) = 1 - P(x = 0) = 1-(1/32) = 31/32<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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