document.write( "Question 1076843: If Stanford accepts 3 transfer students per year out of 30,000 applicants in California what is the probability that out of 15,400 applicants from southern California only one or zero get in? \n" ); document.write( "

Algebra.Com's Answer #691461 by Boreal(15235) $\"\"$ $\"About$

You can put this solution on YOUR website!
Poisson with proportional to number, random and theoretically infinite or very, very large. Probability is 1 in 10,000 or 0.0001
\n" ); document.write( "np=lambda=15400*0.0001=1.54= lambda. When n goes to infinity, p goes to 0, but np is a constant NE to 0, then use this.
\n" ); document.write( "e^(-lambda)^lambda^x/x!
\n" ); document.write( "e^(-1.54)1.54^1/=0.3301 for 1
\n" ); document.write( "e^(-1.54)=0.2144 for 0
\n" ); document.write( "so 0 or 1 has a probability of 0.5445.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );