15.2.51 One dimensional random variables and their characteristics

Problem: The continuous random variable \( X \) has the distribution function \( F(x)=0 \) when \( \quad x<1, \quad F(x)=1 \quad \) when \( x>4 \), \( F(x)=c_{1}+(x / 4)+c_{2}(x-1)^{2} \) when \( 1