To find $P(X \leq 2)$, we need to add the probabilities of $X = 1$ and $X = 2$, since $P(X \leq 2)$ represents the probability of $X$ being less than or equal to 2.

From the data:

• $P(X = 1) = 0.3$
• $P(X = 2) = 0.1$

So, $P(X \leq 2) = P(X = 1) + P(X = 2) = 0.3 + 0.1 = 0.4$

Thus, the value of $P(X \leq 2)$ is 0.4.

Would you like to go through further steps or need any more details?

Here are some related questions for further practice:

1. What is the value of $P(X > 3)$?
2. How do you calculate the expected value $E(X)$ for this distribution?
3. What is the probability of $X = 4$?
4. How do you calculate $P(X \geq 3)$?
5. If the probability of $X = 3$ increased to 0.3, how would that affect the total probability?

Tip: When calculating cumulative probabilities, always remember to sum the individual probabilities for all outcomes up to and including the given value.