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