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Find the Specified Probability Distribution of the Binomial Random Variable

Question 59

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)
xP(X=x) 00.409610.409620.153630.025640.0016\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)
xP(X=x) 10.409620.153630.025640.0016\begin{array}{c|r}x & P(X=x) \\\hline 1 & 0.4096 \\2 & 0.1536 \\3 & 0.0256 \\4 & 0.0016\end{array}

C)
xP(X=x) 00.409610.409620.102430.076840.0016\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)
xP(X=x) 0010.220.0430.00840.0016\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}

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