Statistics and Probability: JEE Main 2026 Mathematics question

The probability distribution of a random variable X is given below : X : $4k$, $\frac{30}{7}k$, $\frac{32}{7}k$, $\frac{34}{7}k$, $\frac{36}{7}k$, $\frac{38}{7}k$, $\frac{40}{7}k$, $6k$ ; P(X) : $\frac{2}{15}$, $\frac{1}{15}$, $\frac{2}{15}$, $\frac{1}{5}$, $\frac{1}{15}$, $\frac{2}{15}$, $\frac{1}{5}$, $\frac{1}{15}$. If $E(X) = \frac{263}{15}$, then $P(X < 20)$ is equal to :