The probability density function,f(x),for any continuous random variable X,represents:
A)all possible values that X will assume within some interval a ≤ x ≤ b
B) the probability that X takes on a specific value x.
C)The height of the density function at x.
D) None of these choices.

Question

Quizplus · Accepted Answer

The probability density function, f(x), for a continuous random variable X represents the relative likelihood of different outcomes occurring. It does not represent the probability of X taking on a specific value, but rather the height of the density function at a given point (x) represents the probability density at that point. Therefore, choice C is the correct answer.

The Probability Density Function,f(x),for Any Continuous Random Variable X,represents