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Given X ~ B(n,p) If n= 20,, E(x)= 10 , F...

Given X ~ B(n,p) If n= 20,, E(x)= 10 , Find p, Car(X) and S.D (X)

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Given, `n = 20 and E(x)=10`
`E(x)=np`
`therefore" "np=10" …(i)"`
`" "20p=10`
`p=(1)/(2)`
`therefore" "q=1-p=1-(1)/(2)=(1)/(2)`
`therefore" Var(x) = npq = "20(1//2)(1)/(2)=5`
and `" S.D. (x)"=sqrt("Var (x)")`
=`sqrt5`
`= 2.23`
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