A discrete random variable X has the following probability distribution:

the value of C will be :
Answer & explanation
Correct answer: option 4
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}$