See attached image (See below)
And a combination of discrete & continuous distributions
The Attempt at a Solution
The Continous Distribution Function (CDF) is given in the question. So I differentiated it with respect to x piecewise (See below). That is what I got
I can also see that there is a uniform distribution between 0 and 1 but also there are discrete points that have assigned probability. For example; those points could be 0,1 and 2? maybe?
I want to be able to find the value of c while remembering the sum of the probabilities must add up and equal to 1.
How do I go about solving for c? this is where I am stuck. I cannot seem to figure out where to go from here. Thanks!