Is the function a probability density function on the interval ?
A) Yes.
B) No, because the integrated probability is not 1.
C) No, because the function can be negative in the range.

Question

Is the function  a probability density function on the interval  ?
A) Yes. 
B) No, because the integrated probability is not 1. 
C) No, because the function can be negative in the range.

Quizplus · Accepted Answer

For a function to be a probability density function, the integrated probability over the entire interval must be equal to 1. However, we do not have any information about the function or its integral, so we cannot determine whether or not it satisfies this criterion. Therefore, the correct answer is B.

Is the Function a Probability Density Function on the Interval