At a certain university, 50% of all entering freshmen planned to major in a STEM (science, technology, engineering, mathematics) discipline. A sample of 36 freshmen is selected. What is the probability that the proportion of freshmen in the sample is between 0.475 and 0.580?

Write only a number as your answer. Round to 4 decimal places (for example 0.3748). Do not write as a percentage.

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