(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

See attached image(See below)

2. Relevant equations

Differential equations.

And a combination of discrete & continuous distributions

3. 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!

Question:

(When I differentiated it)

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# Homework Help: Mixed random variable distribution question

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