A property of continuous distributions is that
A) as with discrete random variables, the probability distribution can be approximated by a smooth curve.
B) probabilities for continuous variables can be approximated using discrete random variables.
C) unlike discrete random variables, probabilities can be found using tables.
D) unlike discrete random variables, the probability that a continuous random variable equals a specific value is zero [P(X = x) = 0].

Question

Quizplus · Accepted Answer

This is due to the fact that there is an infinite amount of values that the continuous distribution could take on and, therefore, picking exactly one value is highly unlikely, or equal to zero.

A Property of Continuous Distributions Is That