If a point y lies outside the range of the possible values of a random variable X,then f(y)must equal zero.

Question

Quizplus · Accepted Answer

This statement is true by definition of probability density function. The pdf of a continuous random variable assigns a probability density to each possible value of the variable, such that the total area under the curve equals 1. Therefore, any point outside the possible range of values has zero probability density, and f(y) must equal zero.

If a Point Y Lies Outside the Range of the Possible