(Solved): There are 5000 undergraduates registered at a certain college, Of them, 498 are taking one course, 6 ...

There are 5000 undergraduates registered at a certain college, Of them, 498 are taking one course, 625 are taling two courses, 571 are taling three courses, 1844 are taking four courses, 1377 are tabing five courses, and 85 are taking six courses. Let

be the number of courses taken by a stotent randomly sampled from this popilation. Find the probability distribution of

. Round the answers to four decimal places as needed. \table[[

,1,2,3,4,5,6,

,],[

,

,

,

,

,

,

,,]]