Answer:
[TeX]\sum P(x)\neq 1[/TeX], the distribution is not a probability distribution.
Step-By-Step Explanation:
The distribution is given below:
[TeX]\left|\begin{array}{c|c}x & P(x)\\---&---\\0 & 0.502\\1 & 0.365\\2 & 0.098\\3 & 0.011\\4 & 0.001\\---&-----\\ & \sum P(x)=0.977\end{array}\right| [/TeX]
A given distribution is a probability distribution if [TeX] \sum P(x)= 1 [/TeX]
Since, for the given distribution, [TeX]\sum P(x)\neq 1[/TeX], the distribution is not a probability distribution.
