Which of the following statements about continuous random variables is correct?
A) They can assume values at all points on an interval with no breaks between possible values.
B) We can gauge the likely occurrence of specific values of such variables with the help of one or another of certain probability distributions, including the binomial, Poisson, or hypergeometric distributions.
C) They are defined at specific values.
D) All of these.
E) None of these.

Question

Quizplus · Accepted Answer

Continuous random variables can assume any value on an interval with no gaps or breaks. Option B is incorrect because the mentioned probability distributions only apply to discrete random variables, not continuous ones. Option C is incorrect because continuous random variables are not defined at specific values, but rather can take on any value within a certain range.

Which of the Following Statements About Continuous Random Variables Is