To find $P(X \leq 5)$, we need to sum the probabilities of $X = 4$ and $X = 5$ from the given data.

From the data:

$P(X = 4) = 0.2$ $P(X = 5) = 0.3$

So,

$P(X \leq 5) = P(X = 4) + P(X = 5) = 0.2 + 0.3 = 0.5$

Thus, the value of $P(X \leq 5)$ is 0.5.

Would you like further details or explanations on how to approach this?

Here are some related questions:

1. How do you calculate the probability of $P(X > 5)$?
2. What is the meaning of cumulative probability?
3. Can you explain how to calculate the expected value of a random variable from this distribution?
4. How does the probability distribution change if $P(X = 4)$ becomes 0.4 instead of 0.2?
5. What is the variance of a probability distribution, and how is it calculated?

Tip: When calculating cumulative probabilities like $P(X \leq a)$, simply sum the probabilities for all $X$ values less than or equal to $a$.