document.write( "Question 270422: Maggie is applying to college. There are only two outcomes for each application. It is either accepted or rejected. Each application she sends has a 0.70 probability of being accepted. If Maggie applies to 10 colleges, what is the probability that more than 8 of the applications will be accepted? What is the expected value for \"number of acceptances?\" \n" ); document.write( "
Algebra.Com's Answer #198127 by stanbon(75887)\"\" \"About 
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Maggie is applying to college. There are only two outcomes for each application. It is either accepted or rejected.
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\n" ); document.write( "Each application she sends has a 0.70 probability of being accepted.
\n" ); document.write( "If Maggie applies to 10 colleges, what is the probability that more than 8 of the applications will be accepted?
\n" ); document.write( "Binomial Problem with n= 10 ; p = 0.7
\n" ); document.write( "P(8 < x <=10) = 1 - binomcdf(10,0.7,8) = 0.1493
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\n" ); document.write( "\n" ); document.write( "What is the expected value for \"number of acceptances?\"
\n" ); document.write( "E(x) = np = 10*0.7 = 7
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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