The characteristic feature in all the discrete distributions is that the **random variable X is discrete**. The possible outcomes are distinct numbers, which is why we called them discrete probability distributions.

Have you asked yourself, “**what if the random variable X is continuous?**” What is the probability that

*X*can take any particular value

*x*on the real number line which has infinite possibilities?

For a continuous random variable, the number of possible outcomes is infinite, hence,

**P( X = x) = 0**.

For continuous random variables, the probability is defined in an interval between two values. It is computed using continuous probability distribution functions.

Learn more about these fundamentals in Lesson 41.

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