Which of the following is not a characteristic of a probability density function f(x)?
A) f(x) ≥ 0 for all values of x.
B) f(x) is symmetric around the mean.
C) The area under f(x) over all values of x equals one.
D) f(x) becomes zero or approaches zero if x increases to +infinity or decreases to -infinity.

Question

Quizplus · Accepted Answer

Not all probability density functions are symmetric around the mean. Some may have skewness or asymmetry in their distribution. The other options (A, C, D) are all characteristics of a probability density function.

Which of the Following Is Not a Characteristic of a Probability