Question: When an extremely talented violin player is soloing, the position of her hand along the violin's neck seems to be Uniform on a 9-inch interval

When an extremely talented violin player is soloing, the position of her hand along the violin's neck seems to be Uniform on a 9-inch interval (the total length is about 13 inches from nut to bridge; but not all of the string is used). The violinist is photographed 6 times during a performance. Assume that the location of her hand is independently placed in each of the photos.
a. Find the jth order statistic of the location of her hand (1 ≤ j ≤ 6).
b. Find the probability that her hand is within 3 inches of the nut during at least 2 of the 6 photographs.

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