If X is a continuous random variable, then =P=Xa ▼(Choose one) for any number a.

To determine the probability $P(X = a)$ for a continuous random variable $X$, we need to consider the definition of continuous random variables.

Explanation:

1. Understanding Continuous Random Variables: A continuous random variable can take on an infinite number of values within a given range. Thus, the probability of the variable taking on any specific exact value is essentially zero.

2. Mathematical Representation: Formally, for a continuous random variable $X$, the probability that $X$ equals a specific value $a$ is given by: $P(X = a) = 0$ This is because the area under a single point on the probability density function (PDF) curve is zero.

Final Answer:

The correct statement is that $P(X = a) = 0$ for any number $a$.