There are $5000$ undergraduates registered at a certain college. Of them, $455$ are taking one course, $668$ are taking two courses, $563$ are taking three courses, $1887$ are taking four courses, $1334$ are taking five courses, and $93$ 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.

$\backslash$table$[[x,1,2,3,4,5,6],[P(x),,,,,,]]$