document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252819>Question 252819</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help in answering this question.\r<BR>\n" );
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document.write( "The quality assurance engineer of a television manufacturer inspects TVs in lots of 100. He selects 5 of the 100 TVs at random and inspects them thoroughly. Assuming that 6 ofte 100 TVs in the current lot are defective, find the probability that the number of defective TVs obtained by the engineer is<BR>\n" );
document.write( "a. exactly one<BR>\n" );
document.write( "b. at most one<BR>\n" );
document.write( "c. at least one </SPAN>\n" );
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document.write( "The quality assurance engineer of a television manufacturer inspects TVs in lots of 100. He selects 5 of the 100 TVs at random and inspects them thoroughly.<BR>\n" );
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document.write( "Binomial: n = 5 ; p = 0.06 ; x varies<BR>\n" );
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document.write( " Assuming that 6 of the 100 TVs the current lot are defective, find the probability that the number of defective TVs obtained by the engineer is<BR>\n" );
document.write( "a. exactly one<BR>\n" );
document.write( "P(x=1) = 5C1(0.06)(0.94)^4 = 0.2342<BR>\n" );
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document.write( "b. at most one<BR>\n" );
document.write( "P(x=0 or 1) = 0.7339 + 0.2342 = 0.9681<BR>\n" );
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document.write( "c. at least one<BR>\n" );
document.write( "P(x>=1) = 1- P(x=0) <BR>\n" );
document.write( "1 - 5C0(0.06)^0*(0.94)^5 <BR>\n" );
document.write( "= 1 - 1*1*(0.94)^5 <BR>\n" );
document.write( "= 1 - 0.7339 <BR>\n" );
document.write( "= 0.2661<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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