Find k, such that the function P (x)= ll k (4 x ) & ; x=0,1,2,3,4… - Vidyadip

Question

Find $k$, such that the function
$
P (x)=\left\{\begin{array}{ll}
k\left(\frac{4}{x}\right) & ; \quad x=0,1,2,3,4, k>0 \\
0 ; & \text { otherwise, }
\end{array}\right.
$
is a probability mass function (p.m.f.)

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