There are5000

undergraduates registered at a certain college. Of them,455

are taking one course,668

are taking two courses,564

are taking three courses,1887

are taking four courses,1334

are taking five courses, and92

are taking six courses. LetX

be the number of courses taken by a student randomly sampled from this population. Find the probability distribution ofX

. Round the answers to four decimal places as needed.