To find the value of c and to find the PDF of mixed random variable

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I don't know how to find the PDF of mixed random variable. Please help me here??

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Hint: This is a continuous cdf where $P(X\leq 3)=P(X>3)$. Thus

$$F(3)=\frac{c(6\cdot3 -3^2-1 )}{2}=P(X\leq 3)=P(X>3)=1$$

Solve the equation for $c$.