Which of the following is correct?
A) A continuous random variable has a probability density function but not a cumulative distribution function.
B) A discrete random variable has a probability mass function but not a cumulative distribution function.
C) A continuous random variable has a probability mass function, and a discrete random variable has a probability density function.
D) A continuous random variable has a probability density function, and a discrete random variable has a probability mass function.

Question

Quizplus · Accepted Answer

A continuous random variable has a probability density function, which can be integrated to obtain its cumulative distribution function. A discrete random variable has a probability mass function, which gives the probability of each individual outcome, but it can also be summed up to obtain its cumulative distribution function. So, D is the correct option.

Which of the Following Is Correct