A random variable X has the following probability distribution : Determine : $$\begin{bmatrix} (i)\: K & (ii) \: P(X<3) & (iii)\: P(X>6) & (iv)\: P(0<X<3) \end{bmatrix}$$

Question

X	0	1	2	3	4	5	6	7
P(X)	0	K	2K	2K	3K	$K^2$	$2K^2$	$7K^2+K$