## A multiple choice exam has ten questions. Each question has five possible answers, of which one is correct. Suppose that a student did not s

Question

A multiple choice exam has ten questions. Each question has five possible answers, of which one is correct. Suppose that a student did not study for the exam and, as a result, they guess on every question so that the probability of answering any question correctly is 0.20. 19. What is the probability that the student answers exactly 4 questions correctly

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3 weeks 2021-10-08T03:17:46+00:00 1 Answer 0

8.81% probability that the student answers exactly 4 questions correctly

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes. In which is the number of different combinations of x objects from a set of n elements, given by the following formula. And p is the probability of X happening.

A multiple choice exam has ten questions.

This means that The probability of answering any question correctly is 0.20.

This means that What is the probability that the student answers exactly 4 questions correctly

This is P(X = 4).  8.81% probability that the student answers exactly 4 questions correctly