1.

If E(X) = 10 and SD (X) = 12, then find E(X2 ).

Answer»

We know that ; S.D.(X) = √var(x)

Squaring both the sides,

[S.D (X)]2 = E(X2 ) – [E(X)]2

By substituting ; 122 = E (X2 ) – (10)2

∴ E(X2 )= 144 – 100 = 44. 



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