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3.1-8. For each of the following functions, (i) find the constant \( c \) so that \( f(x) \) is a pdf of a random variable \( X \); (ii) find the cdf, \( F(x)=P(X \leq x) \); (iii) sketch graphs of the pdf \( f(x) \) and the distribution function \( F(x) \); and (iv) find \( \mu, \sigma^{2} \), and the index of skewness, \( \gamma \) : (a) \( f(x)=x^{3} / 4, \quad 0

The given that, f(x)=x34 0