Find the Specified Probability Distribution of the Binomial Random Variable

Multiple Choice

Find the specified probability distribution of the binomial random variable.
-A multiple choice test consists of four questions. Each question has five possible answers of which only one is correct. A student guesses on every question. Find the probability distribution of X, the
Number of questions she answers correctly.

A)
$\begin{array}{c|r}\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 0 & 0.4096 \\1 & 0.4096 \\2 & 0.1536 \\3 & 0.0256 \\4 & 0.0016\end{array}$

B)
$\begin{array}{c|r}x & P(X=x) \\\hline 1 & 0.4096 \\2 & 0.1536 \\3 & 0.0256 \\4 & 0.0016\end{array}$

C)
$\begin{array}{l|r}\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 0 & 0.4096 \\1 & 0.4096 \\2 & 0.1024 \\3 & 0.0768 \\4 & 0.0016\end{array}$

D)
$\begin{array}{c|r}\mathrm{x} & \mathrm{P}(\mathrm{X}=\mathrm{x}) \\\hline 0 & 0 \\1 & 0.2 \\2 & 0.04 \\3 & 0.008 \\4 & 0.0016\end{array}$