Suppose that on a certain examination in advanced mathematics, students from university A achieve scores that are normally distributed with a mean of 525 and a variance of 150, and students from university B achieve scores which are normally distributed with a mean of 550 and a variance of 110. Suppose that a student is selected at random from university A, and independently, one student is selected at random from university B. Determine the probability that the student from university A achieves a lower score than the student from university B.
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