Question 375852
Find the probability for the number of believers from 0 to 12.
{{{P(0)=1*(0.75)^12*(0.25)^0=0.03168}}}
{{{P(1)=12*(0.75)^11*(0.25)^1=0.12671}}}
{{{P(2)=66*(0.75)^10*(0.25)^2=0.23229}}}
{{{P(3)=220*(0.75)^9*(0.25)^3=0.25810}}}
{{{P(4)=495*(0.75)^8*(0.25)^4=0.19358}}}
{{{P(5)=792*(0.75)^7*(0.25)^5=0.10324}}}
{{{P(6)=924*(0.75)^6*(0.25)^6=0.04015}}}
{{{P(7)=792*(0.75)^5*(0.25)^7=0.01147}}}
{{{P(8)=495*(0.75)^4*(0.25)^8=0.00239}}}
{{{P(9)=220*(0.75)^3*(0.25)^9=0.00035}}}
{{{P(10)=66*(0.75)^2*(0.25)^10=0.00004}}}
{{{P(11)=12*(0.75)^1*(0.25)^11=0.00000}}}
{{{P(12)=1*(0.75)^0*(0.25)^12=0.00000}}}
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{{{mu=sum(x*P(x),0,12)}}}
{{{mu=3}}}
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{{{VAR=sum((x-mu)^2*P(x),0,12)}}}
{{{VAR=2.25}}}
{{{sigma=sqrt(VAR)=1.5)}}}
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