A random variable `X` can take all non-negative integral values and the probabililty that `X` takes the value `r` is proportional to `alpha^r(0

Explanation

We have `P(X=r) propto(1 / alpha^{r})`



`Rightarrow P(X=r)=k times frac{1}{alpha^{r}} text { (where } k text { is any constant } `


`Rightarrow P(r=0)=k cdot frac{1}{alpha^{circ}} `


`P(r=1)=frac{k}{alpha} `


`P(r=2)=frac{k}{alpha^{2}} `


`P(r=3)=frac{k}{alpha^{3}}`



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