Question

(b) Let X be a continuous non-negative random variable with probability density function (PDF) fX (where fX(x).

(A question about specific properties and the probability density function would need to be provided for options)
A) The correct mathematical expression for fX(x)
B) An incorrect mathematical expression for fX(x)
C) Not enough information to determine
D) None of the above

Answer 1

The correct mathematical expression for fX(x) is f(x) > 0. An incorrect mathematical expression would be f(x) < 0.

Step-by-step explanation:

The correct mathematical expression for fX(x) is f(x) > 0. This means that the probability density function (PDF) for the random variable X must be greater than zero for all values of x.

An incorrect mathematical expression for fX(x) would be f(x) < 0, which is not possible since the PDF must be non-negative.

Based on the given information, the correct answer is A) The correct mathematical expression for fX(x).