Mathematics

Question

Amit is going to guess on all
2
0
2020 questions of his multiple-choice test. Each question on the test has
4
44 answer options, and only one is correct.
What is the best prediction for the number of questions that Amit will answer correctly?
Choose 1 answer:

2 Answer

  • Answer:

    The best prediction for the number of questions that Amit will answer correctly is 5.

    Step-by-step explanation:

    Each question can be considered as an independent Bernoulli trial. This implies that we have 20 independent trials.

    Now, the probability of making a correct guess on each question is;

    1/4. This is because we have 4 choices per question and only 1 is correct.

    If we now let the random variable X denote the number of questions that Amit will answer correctly, then X is a Binomial random variable with parameters;

    20 and 1/4.

    The expected number of correct answers is simply the product of these two values;

    20 * (1/4) = 5

    Therefore, the best prediction for the number of questions that Amit will answer correctly is 5

  • Answer:

    Close to five but not exactly 5

    Step-by-step explanation:

    Khan Academy

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