Free PMF Discrete Random Variables Questions and Answers

Question 1

A random variable can also be referred to as...

Accepted Answer

Stochastic

Answer

A random variable can also be referred to as "stochastic" because it represents a variable whose outcome is determined by chance or probability. Stochastic variables are used in probability theory and statistics to model and analyze uncertain events or processes. They can take on different values with varying probabilities, and their behavior is often described using probability distributions.

Question 2

A variable whose possible values are numerical outcomes of a random phenomenon is termed...

Accepted Answer

Random variable

Answer

A random variable is a term used to describe a variable that can take on different numerical outcomes as a result of a random or uncertain event or phenomenon. This means that the values of the variable are not predetermined or fixed, but rather depend on the outcome of the random process. Therefore, the correct answer is "Random variable."

Question 3

Random variables that can assume only a countable number of values are called...

Accepted Answer

Discrete

Answer

Random variables that can assume only a countable number of values are called discrete. Discrete random variables have specific, separate, and distinct values. They can be expressed as whole numbers or a finite set of values. Unlike continuous random variables, discrete random variables cannot take on any value within a given range.

Question 4

Random variables that can take on any of the countless number of values in an interval are called...

Accepted Answer

Continuous

Answer

Random variables that can take on any of the countless number of values in an interval are called continuous. This means that the variable can take on any value within a range, including fractions and decimals. Unlike discrete variables, which can only take on specific, separate values, continuous variables have an infinite number of possible values. Closed and open are not appropriate terms to describe random variables, as they refer to intervals rather than the variables themselves.

Question 5

Variables which cannot take any value at all are...

Accepted Answer

Nonrandom

Answer

Nonrandom variables are those that do not have any variation or variability in their values. In other words, these variables cannot take on different values and remain constant. They are fixed and unchanging. In contrast, random variables can take on different values based on chance or probability. Therefore, nonrandom variables cannot take any value at all, as they are not subject to variation or randomness.

PMF - Probability Mass Function Practice Test

PMF - Probability Mass Function Practice Test

Free PMF Discrete Random Variables Questions and Answers