There are 5000 undergraduates registered at a certain college. Of them, 463 are taking one course, 660 are taking two courses,

Question

There are 5000 undergraduates registered at a certain college. Of them, 463 are taking one course, 660 are taking two courses, 564 are taking three courses, 1879 are taking four courses, 1342 are taking five courses, and 92 are taking six courses. Let X be the number of courses taken by a student randomly sampled from this population. Find the probability distribution of X. Round the answers to four decimal places as needed.

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