Find k ,such that the function
`P(x)={{:(k({:(4),(x):}),,x=0","1","2","3","4,kgt0),(0,"otherwise."):}`
is a probability mass function (p.m.f.)

Explanation

To find the value of \( k \) such that the function \( P(x) \) is a probability mass function (p.m.f.), we need to ensure that the sum of the probabilities for all possible values of \( x \) equals 1.

The function is given as:

\[
P(x) =
\begin{cases}
k \cdot 4C_x & \text{for } x = 0, 1, 2, 3, 4 \\
...