Let X be a random variable with E(X) = ,E(X )2 = 2 and such that the third central moment 3 = E(X

Let X be a random variable with E(X) = μ,E(X − μ)2 = σ2 and such that the third central moment γ3 = E(X − μ)3 exists. The ratio γ3/σ3 is called the coefficient of skewness. Find skewness of the following distributions: (i) U[0, 1]. (ii) f(x) = αxα−1 for 0 ≤ x ≤ 1 and f(x)=0 otherwise (α > 1). (iii) BIN(1,p). (iv) POI(λ).