To find $P(X > 2)$, we need to sum the probabilities for all values of $X$ greater than 2. From the given data:

• $P(X = 3) = 0.2$
• $P(X = 4) = 0.1$
• $P(X = 5) = 0.3$

So,

$P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)$ $P(X > 2) = 0.2 + 0.1 + 0.3 = 0.6$

Therefore, the value of $P(X > 2)$ is 0.6.

Would you like further details on this process, or do you have any questions about it?

Here are some related questions to deepen your understanding:

1. What is the definition of a probability distribution?
2. How do you calculate $P(X < 4)$?
3. What is the formula to find the expected value of a discrete random variable?
4. How do you calculate the variance for a discrete probability distribution?
5. How would the result change if $P(X=5)$ were 0.4 instead of 0.3?

Tip: To find probabilities like $P(X > a)$, just sum the individual probabilities for all values of $X$ greater than $a$.