document.write( "Question 1004976: From previous records it was estimated that the probability that a student passes a statistics test is 0.95. A class consists of 65 students. Determine the probability that
\n" );
document.write( "i) 60 persons will pass
\n" );
document.write( "ii)at least 63 persons will pass
\n" );
document.write( "iii) at least one person will pass \n" );
document.write( "
Algebra.Com's Answer #621313 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! From previous records it was estimated that the probability that a student passes a statistics test is 0.95. A class consists of 65 students. \n" ); document.write( "Binomial Problem with n = 65 and p = 0.95 \n" ); document.write( "-------------------------\r \n" ); document.write( "\n" ); document.write( "Determine the probability that \n" ); document.write( "i) 60 persons will pass \n" ); document.write( "P(x = 60) = 65C60(0.95)^60*(0.05)^5 = binompdf(65,0.95,60) = 0.1189 \n" ); document.write( "----------------------------- \n" ); document.write( "ii)at least 63 persons will pass \n" ); document.write( "P(x >= 63) = 1 - binomcdf(65,0.95,62) = 0.3630 \n" ); document.write( "-------------------------------------------------- \n" ); document.write( "iii) at least one person will pass \n" ); document.write( "P(x >=1) = 1 - P(x = 0) = 1 - binompdf(65,0.95,0) = 1 - (approximately zero) \n" ); document.write( "= approximately 1 \n" ); document.write( "----------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------ \n" ); document.write( " |