document.write( "Question 1190828: 12. It is given that 40% of the population support the birthday party. One hundred and fifty members of the population are selected at random. Use a suitable approximation to find the probability that more than 55 out of the 150 support the birthday party. \n" ); document.write( "
Algebra.Com's Answer #822924 by Boreal(15235)\"\" \"About 
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normal approximation
\n" ); document.write( "mean=np=150*0.40=60
\n" ); document.write( "variance=np(1-p)=60*0.6=36
\n" ); document.write( "sd=sqrt(V)=6
\n" ); document.write( "z>(55.5-60)/6, using continuity confutation factor.
\n" ); document.write( "z>-0.75
\n" ); document.write( "probability is 0.7733
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