To find the probability that $x = 4$, you need to refer to the given discrete probability distribution table. A discrete probability distribution lists all possible values of a random variable $x$ and the corresponding probabilities for each of these values.

Assuming the table (or distribution) provides the probabilities for different values of $x$, the probability that $x = 4$ is simply the value listed for $x = 4$ in the distribution.

Thus, the probability that $x = 4$ can be expressed as:

$P(x = 4) = p_4$

Where $p_4$ is the probability associated with $x = 4$ in the given table.

Could you upload or share the specific distribution so I can provide a more detailed answer?

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Let me know if you would like more details, and feel free to share the distribution if needed!

Here are 5 questions to explore the topic further:

1. What are the key properties of a discrete probability distribution?
2. How do you calculate the expected value of a discrete random variable?
3. What is the sum of all probabilities in a discrete probability distribution?
4. How can we find the variance and standard deviation for a discrete random variable?
5. How do you use a cumulative distribution function (CDF) in discrete probability?

Tip: Always ensure that the sum of the probabilities in any discrete distribution equals 1.