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Raven has just competed on a tv game show. Contestants must answer questions from a broad range of topics and are given a score based

Raven has just competed on a tv game show. Contestants must answer questions from a broad range of topics and are given a score based on their performance. Raven has scored 565 from her attempt. In her preparation for the show, she remembered seeing that the average score of contestants in the past was 500, and the variance was 900.

She also believes that the normal distribution would accurately model the distribution of the scores. Calculate Raven's percentile, to 2 decimal places.

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