Question

When manufacturing DVDs for SONY, batches of DVDs are randomly selected and the number of defects, X, is found for each batch. Determine whether a probability distribution is given and tell why, or why not:

Answer 1

[TeX]\sum P(x)\\eq 1[/TeX], the distribution is not a probability distribution.

Step-By-Step Explanation:

The distribution is given below:

[TeX]\left|\begin{array}cx & 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)\\eq 1[/TeX], the distribution is not a probability distribution.