From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs is drawn at random with replacement. Find the probability distribution of the number of defective bulbs.

Question

$\begin{array}{1 1}\begin{matrix} \textbf{X} & 0 &1 &2&3&4 \\ \textbf{P(X)} &\large \frac{256}{625} &\large \frac{256}{625} &\large\frac{96}{625} &\large\frac{16}{625}&\large\frac{1}{625}\end{matrix} \\ \begin{matrix} \textbf{X} & 0 &1 &2&3\\ \textbf{P(X)} &\large \frac{256}{625} &\large \frac{256}{625} &\large\frac{96}{625} &\large\frac{16}{625}\end{matrix} \\ \begin{matrix} \textbf{X} & 0 &1 &2&3&4 \\ \textbf{P(X)} &\large \frac{1}{625} &\large \frac{256}{625} &\large\frac{96}{625} &\large\frac{16}{625}&\large\frac{1}{625}\end{matrix} \\\begin{matrix} \textbf{X} & 0 &1 &2&3&4 \\ \textbf{P(X)} &\large \frac{16}{625} &\large \frac{96}{625} &\large\frac{256}{625} &\large\frac{16}{625}&\large\frac{1}{625}\end{matrix}\end{array} $