Determine the value of k that makes the following probabilit

Determine the value of k that makes the following probability distrubution function a valid one, if possible. Explain your answer.

Solution

The sum of probability should equals to 1.

So, 3k + 4k + 2k + k - 5k = 1

or, 10k - 5k = 1

or, 5k = 1

or, k = 1/5 = 0.2 (Ans)