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Ed and Frank are playing in the club bowling tournament. Their scores vary as they play repeatedly. Ed's score X has the N(204, 9) distribution,
Ed and Frank are playing in the club bowling tournament. Their scores vary as they play repeatedly. Ed's score X has the N(204, 9) distribution, and Frank's score Y has the N(196, 12) distribution. Their scores are independent. What is the probability that Ed will score at least three points higher than Frank? (Round your final answer to four decimal places. Remember to express your answer as a proportion.)
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