Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. n = 11, p = 0.5, P(9 or mor

Question

Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p. n = 11, p = 0.5, P(9 or more)

Answer 1

Blake,

 

The probability of 9 or more successes in a sample size of 11 is P(9)+P(10)+P(11) where

P(x,n,p)=combination(n,x)p^x * q^(n-x) and q=1-p

P(9)=combination(11,9) * .5^9 * .5 ^ 2 =55 * .5 ^ 11=.026855

P(10)=combination(11,10) * .5^11=11*.5^11=.00537

P(11)=combination(11,11) * .5^11=1*.5^11=.000488

 

So P(9)+P(10)+P(11)=.0327

 

Hope that helps!