(Solved): Balls are numbered 1 through 10 (including 1 and 10 ) in an urn. 3 are drawn simultaneously and at ...

Balls are numbered 1 through 10 (including 1 and 10 ) in an urn. 3 are drawn simultaneously and at random. If \( X \) is 4 times the number of even balls drawn minus 3 times the number of odd balls drawn, how many distinct values for \( X \) are there? - Part 2 Find the probability density function of \( X \) (Note: Please write the values of \( X \) in ascending order!).