What is the probability of #X=7# successes, using the binomial formula?

Let #n=10, p = .37#.

1 Answer
Nov 15, 2017

#0.02848#

Explanation:

for any binomial distribution

#X~B(n,p)#

#P(X=k)=((n),(k))p^k(1-p)^(n-k)#

for the given Binomial distribution

#X~B(10,0.37)#

#:.P(X=7)=((10),(7))0.37^7 0.63^3#

#=120xx2.373743xx10^(-4)#

#=0.02848#