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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) x P(X = x)
0 0
1 0.2
2 0.04
3 0.008
4 0.0016

B) x P(X = x)
0 0.4096
1 0.4096
2 0.1536
3 0.0256
4 0.0016

C) x P(X = x)
0 0.4096
1 0.4096
2 0.1024
3 0.0768
4 0.0016

D) x P(X = x)
1 0.4096
2 0.1536
3 0.0256
4 0.0016

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