Question 1206636

 

{{{P(X=x)=C(n,x)*p^x*(1-p)^(n-x)}}}


{{{n=9}}}
{{{p=0.6}}}
{{{x>=3}}}



{{{P(X>=3)=P(X=3)+P(X=4)+P(X=5)+P(X=6)+P(X=7)+P(X=8)+P(X=9)}}}

{{{P(X>=3)=C(9,3)*0.6^3*(1-0.6)^(9-3)+C(9,4)*0.6^4*(1-0.6)^(9-4)+C(9,5)*0.6^5*(1-0.6)^(9-5)+C(9,6)*0.6^6*(1-0.6)^(9-6)+C(9,7)*0.6^7*(1-0.6)^(9-7)+C(9,8)*0.6^8*(1-0.6)^(9-8)+C(9,9)*0.6^9*(1-0.6)^(9-9)}}}

{{{P(X>=3)=0.074317824+0.167215104+0.250822656+0.250822656+0.161243136+0.060466176+0.010077696}}}

{{{P(X>=3)=0.975}}}