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Assume that there are four exams in a course and you think (before taking the exams)...

Assume that there are four exams in a course and you think (before taking the exams) that your grade in each of the exams is a normal random variable with mean 57 and standard deviation 20. Assuming that the grades in different exams are independent, calculate the probability that you receive a grade higher than 55 in exactly one of these four exams. (Note: While making your calculations, keep your results with at least 4 decimal places in all steps. Furthermore, your final answer should include 4 decimal places.)

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