(Solved): Question 1                 ...

Question 1                                                                                                                           (6 marks)

Fardi is a student taking a Statistics course. Unfortunately, Fardi is not a good student. Fardi does not read the textbook before class, does not do homework, and regularly misses classes. Fardi intends to rely on luck to pass the next test. The test consists of 10 multiple-choice questions. Each question has five possible answers, only one of which is correct. Far plans to guess the answer to each question.

1. What are the conditions of a binomial probability distribution? Is the above problem meeting the requirements of binomial probability distribution? If not, explain which one(s) is(are) violating the conditions.
2. What is the probability that Fardi gets at least 3 answers right?
3. What is the mean and standard deviation of marks?