In: Statistics and Probability
A Maths quiz consists of 10 questions were given to a group of students. Each
question has 4 choices. Grade A is given to the students managed to get 70% marks
and above. According to the compiled data, 45% of students managed to get grade
A.
(a) What is the probability that exactly 3 of a random sample of 5 the students were
grade A?
(b) What is the probability that not more than 7 of a random sample of those 15
students were grade A?
(c) Among the candidates, one student has not studied and decided to guess the
answers to every questions. Find the probability that the candidate will get
grade A in the quiz.