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

Quizplus · Accepted Answer

A probability density function must satisfy two conditions: it must be non-negative over the given interval, and its integral over the interval must be equal to 1. Since we do not have enough information about the function in question, we cannot determine whether it satisfies the non-negativity condition. However, we do know that it cannot be a probability density function because its integral over the given interval is not equal to 1.

Is the Function a Probability Density Function on the Interval