document.write( "Question 186298: how do i solve this In testing a new drug, researchers found that 5% of all patients using it will have a mild side effect. A random sample of 11 patients using the drug is selected. Find the probability that:
\n" ); document.write( "a) exactly two will have this mild side effect
\n" ); document.write( "b) at least one will have this mild side effect. \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #139646 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
how do i solve this In testing a new drug, researchers found that 5% of all patients using it will have a mild side effect. A random sample of 11 patients using the drug is selected. Find the probability that:
\n" ); document.write( "a) exactly two will have this mild side effect
\n" ); document.write( "b) at least one will have this mild side effect.
\n" ); document.write( "-------------
\n" ); document.write( "It's a binomial problem with n=11 and p = 0.05
\n" ); document.write( "-------------------
\n" ); document.write( "a) P(exactly two will have this mild side effect) = 11C2(0.05)^2*(0.95)^9
\n" ); document.write( "= 55* 0.0025* 0.6302 = 0.0867
\n" ); document.write( "---------------------------------------- \r
\n" ); document.write( "\n" ); document.write( "b) P(at least one will have this mild side effect)
\n" ); document.write( "= 1 - P(none have the effect)
\n" ); document.write( "= 1 - 11C0*(0.05)^0*0.95*11 = 1-0.95^11 = 0.4312
\n" ); document.write( "=======================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );