a. Suppose, there are four options in a MCQ.Multiple answers are not allowed. If you randomly

pick an answer, what is the probability that your answer will be correct?

b. Now, suppose there are 10 such MCQS in a test. All questions are independent of each other,

which mean one question is not related to other. Will this qualify as a binomial experiment?

c. Suppose, your cousin got married the day before quiz and therefore, you could not study at all

for the test. You decided to answer all MCQ question randomly. What is the probability that you will get

exactly 3 answers right out of 10 questions?

d. What is the probability that at most 8 question out of 10 will be wrong?

e. What will be the mean marks and standard deviation of the test score? Calculate and explain.

f. Now suppose, the MCQ questions are not independent, which means there are some questions

that are linked with previous questions (like this one). If you get question a wrong it might affect your

answer of question b. In that case, will it qualify as a binomial distribution? Explain your answer.3

marks