Question
If a r.v. X has p.d.f. $ f(x)=\left\{\begin{array}{ll} \frac{c}{x} & \text { for } 1<x<3, c>0 \\ 0 & \text { otherwise } \end{array}\right. $ Find $c, E(X)$ and $V(X)$. Also find $f(x)$.
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| X | 1 | 2 | 3 | ... | n |
| P(X=x) | 1/n | 1/n | 1/n | ... | 1/n |