document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252362>Question 252362</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with the following problem. Thank you.\r<BR>\n" );
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document.write( "In a factory, products are packed into boxes. Every box has 10 products, 7 of them are of type A(good product). The customer check the products as follows: randomly take 3 products from a box, if all of them are of type A then that box is accepted; otherwise that box is refused. Assume that there are 100 boxes inspected. Find:\r<BR>\n" );
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document.write( " a)The probability that there are 25 boxes accepted.<BR>\n" );
document.write( " b)The probability that there are less than 30 boxes accepted. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184242 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=184242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a factory, products are packed into boxes. Every box has 10 products, 7 of them are of type A(good product). The customer check the products as follows: randomly take 3 products from a box, if all of them are of type A then that box is accepted; otherwise that box is refused. Assume that there are 100 boxes inspected.<BR>\n" );
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document.write( "Probability that a random box is accepted:<BR>\n" );
document.write( "P(accept) = 7C3/10C3 = 35/120 = 7/24<BR>\n" );
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document.write( " Find: <BR>\n" );
document.write( "a)The probability that there are 25 boxes accepted.<BR>\n" );
document.write( "A binomial Problem with n = 100, p = 7/24, x = 25<BR>\n" );
document.write( "Ans: binompdf(100,7/24,25) = 0.0595...<BR>\n" );
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document.write( "b)The probability that there are less than 30 boxes accepted.<BR>\n" );
document.write( "Ans: binomcdf(100,7/24,29) = 0.5353..<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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