$A$ random variable $X$ has the following probability distribution:
$x$ $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $P(X=x)$ $0$ $k$ $2k$ $2k$ $3k$ $k^2$ $2k^2$ $7k^2+k$
Find the value of $P(0 < X < 6)$.
| $x$ | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ |
| $P(X=x)$ | $0$ | $k$ | $2k$ | $2k$ | $3k$ | $k^2$ | $2k^2$ | $7k^2+k$ |
Find the value of $P(0 < X < 6)$.
- A$\frac{9}{10}$
- B$\left(\frac{9}{10}\right)^2$
- C$\frac{3}{10}$
- D$\frac{1}{10}$
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