A discrete random variable X has the following probability distribution: the value of C will be :

0.2 0.09 0.16 0.1

0.1

C + 2C + 2C + 3C + C2 + 2C2 + 7C2 + C = 1 $\Rightarrow 10C^2 + 9C - 1 = 0$ $ \Rightarrow 10C^2 + 10C - C -1 =0$ $ \Rightarrow 10C( C+ 1) -1 (C +1)= 0$ $ C \ne -1 \Rightarrow C = \frac{1}{10}$