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Imagine taking a multiple choice test with 20 questions. On each question there are 5 possible...

Imagine taking a multiple choice test with 20 questions. On each question there are 5 possible answers to choose from and only one is right. Sadly, you have no idea how to do any of the questions so you guess on all 20

(i) Stating your assumptions

(ii) defining the random variable,

(iii) calculate the exact probabilities that you pass the test (get at least 10 correct)

(iv) calculate the approximate probabilities that you pass the test (get at least 10 correct)

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