Question

Continuous random variables can be described by either a probability mass function (pmf) or a cumulative distribution function (CDF).

a.True
b.False

Answer 1

Discrete random variables are described by a pmf, while continuous random variables are described by a pdf or CDF.

Step-by-step explanation:

A discrete random variable is described by a probability mass function (pmf), while a continuous random variable is described by a probability density function (pdf) or a cumulative distribution function (CDF).

For continuous random variables, the pmf does not exist because the probability of any single value is 0. Instead, we use the pdf or CDF to describe the probabilities.

The CDF gives the probability that a continuous random variable X is less than or equal to a specific value x, while the pdf represents the probability density of X at a given value x.