The probability distribution of a random variable X is given by
| X | 0 | 1 | 2 |
|---|---|---|---|
| P(X) | \(1 - 7a^2\) | \(\tfrac{1}{2}a + \tfrac{1}{4}\) | \(a^2\) |
If \(a > 0\), then \(P(0 < X \leq 2)\) is equal to
A random variable \( X \) has the following probability distribution table:
| \( X \) | 0 | 1 | 2 |
|---|---|---|---|
| \( P(X) \) | \( k \) | \( 2k \) | \( 3k \) |
Find the exact value of the unknown parameter \( k \).