Suppose that on a certain examination in advanced mathematics, students from university A achieve scores that are normally distributed with a mean of 625 and a standard deviation of 10. What is the probability that a random chosen student has a score that lower than 600? A passing mark is to be determined so that 45% of the candidates pass the test. What should be the passing mark for this advanced mathematics test? Suppose that students from university 8 are also required to take this advanced mathematics examination. Students from university B achieve scores which are normally distributed with a mean of 600 and a standard deviation of 15. Msume that students from A and B are independent. If we randomly choose one student from each university, what is the probability that the student from university Awill have the test score higher than the student m university 8