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Q125Section III (Statistics)125 of 180

Normalising a geometric-type p.m.f. on even integers

If p(x)=k pxp(x)=k\,p^{x}, where 0<p<10<p<1 and x=0,2,4,6,…x=0,2,4,6,\dots, then for what value of kk does p(x)p(x) become a probability mass function of a random variable?

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