document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=584945>Question 584945</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company manufactures calculators in batches of 64. Four out of every 100 calculators are defective.  <BR>\n" );
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document.write( "(a) Define the random variable for this situation and list its values.<BR>\n" );
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document.write( "(b) What in your view is an appropriate probability distribution of this variable? State the conditions that influenced your choice.<BR>\n" );
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document.write( "(c) Find the probability of getting exactly 3 defects in a batch.<BR>\n" );
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document.write( "(d) Find the probability of getting at least 3 defectives in a batch.<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 #373014 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=373014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A company manufactures calculators in batches of 64. Four out of every 100 calculators are defective. \r<BR>\n" );
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document.write( "(a) Define the random variable for this situation and list its values.<BR>\n" );
document.write( "# of defective in a batch.<BR>\n" );
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document.write( "(b) What in your view is an appropriate probability distribution of this variable? State the conditions that influenced your choice.<BR>\n" );
document.write( "Ans: Binomial Distribution. independence; constant p-value for each trial;<BR>\n" );
document.write( "2 possible outcomes.<BR>\n" );
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document.write( "(c) Find the probability of getting exactly 3 defects in a batch.<BR>\n" );
document.write( "Ans: 64C3(0.04)^3(0.96)^61 = binompdf(64,0.04,3) = 0.2210<BR>\n" );
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document.write( "(d) Find the probability of getting at least 3 defectives in a batch.<BR>\n" );
document.write( "Ans: P(3<= x <=64) = 1 - P(0<= x <=2) = 0.4744<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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