3. [7 marks] For the students at a certain secondary school, it is determined that the time it takes to travel to school is normally distributed with a mean .u and standard deviation 6. It is found that 4% of students take less than 5 minutes to get to school and 70% take less than 25 minutes. Find the values of both it and 0. 4. [8 marks] In a multiple-choice test, there are 20 questions. Each question has a choice of 4 answers and only 1 of these is correct. a) If a student guesses each answer find the probability that she gets: i. none correct ii. more than 10 correct b) Calculate the mean and standard deviation of the number of correct answers. Suppose that 5 students guess the answers to the test. What is the probability that at least 2 of them get more than 10 answers correct? C)