document.write( "Question 716979: A package contains 37 fuses, of which 6 are defective. A sample of 5 fuses is selected at random.
\n" );
document.write( "(b) How many of the samples contain exactly 2 defective fuses?
\n" );
document.write( "(c) How many of the samples contain at least 1 defective fuse? \n" );
document.write( "
Algebra.Com's Answer #440050 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A package contains 37 fuses, of which 6 are defective. A sample of 5 fuses is selected at random. \n" ); document.write( "---- \n" ); document.write( "Binomial Problem with n = 5 ; p(defect)=6/37 ; p(not)=31/37 \n" ); document.write( "--------------------------------- \n" ); document.write( "(b) How many of the samples contain exactly 2 defective fuses? \n" ); document.write( "P(x = 2) = 5C2(7/37)^2(31/37)^3 = binompdf(5,31/37),2) = 0.0299 \n" ); document.write( "------------------------------------------------------------------ \n" ); document.write( "(c) How many of the samples contain at least 1 defective fuse? \n" ); document.write( "P(at least one) = 1 - P(x=0) = 1 - (31/37)^5 = 0.5071 \n" ); document.write( "========================================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================ \n" ); document.write( " \n" ); document.write( " |