A random variable X2 assumes only positive value.?
X^2
A negative times a negative = a positive. A positive times a positive = a positive.
What does that tell you?
To determine whether a random variable X2 assumes only positive values, we need to understand what a random variable is.
A random variable is a mathematical function that assigns a real number to each outcome of a random experiment or process. It can take on different types, such as discrete or continuous, and can have values that are positive, negative, or zero.
However, when you mention "X2," it is important to note that the subscript "2" usually indicates the square of the random variable. If X is the original random variable, then X2 represents X squared.
If X is a regular random variable, there are no restrictions on whether it assumes positive, negative, or zero values. But when we square a random variable, the result is always positive or zero, assuming that X itself can take on positive, negative, or zero values.
In summary, if X is a random variable that can assume positive, negative, or zero values, then X2 will only assume positive or zero values.