In a multiple choice test, each question has four answers, A, B, C and D, only one of which is correct. The total number of questions is 20. Students need to obtain at least 6 correct answers to pass the test and all of them guess the answers.(i) the probability that a randomly selected student passes the test ?(ii) if 100 students sit for the test, use the normal approximation to the binomial distribution to find the probability that more than 50 students pass the test. answer in 4 decimal places.(iii) An employment company wants to estimate the proportion of fresh graduateswho are still unemployed after one year of graduation in Canada. A random sample of 400 fresh graduates is taken and it is found that 124 are unemployed. Construct an approximate 95% confidence interval for the true proportion offresh graduates who are still unemployed after one year of graduation. answer to 3 decimal places.