What is the difference between a discrete random variable and a continuous random variable Mcq?

What is the difference between a discrete random variable and a continuous random variable Mcq?

Q. What is the difference between a discrete random variable and a continuous random variable? A discrete random variable takes all values in an interval of numbers while a continuous random variable has a fixed set of possible values with gaps between.

What is the difference between the two types of random variables?

Random variables are classified into discrete and continuous variables. The main difference between the two categories is the type of possible values that each variable can take. In addition, the type of (random) variable implies the particular method of finding a probability distribution function.

How do you know if a random variable is discrete or continuous?

A discrete random variable has a countable number of possible values. The probability of each value of a discrete random variable is between 0 and 1, and the sum of all the probabilities is equal to 1. A continuous random variable takes on all the values in some interval of numbers.

What is an example of a discrete random variable?

If a random variable can take only a finite number of distinct values, then it must be discrete. Examples of discrete random variables include the number of children in a family, the Friday night attendance at a cinema, the number of patients in a doctor’s surgery, the number of defective light bulbs in a box of ten.

Which of the following is not discrete random variable?

Blood type is not a discrete random variable because it is categorical. Continuous random variables have numeric values that can be any number in an interval. For example, the (exact) weight of a person is a continuous random variable. Foot length is also a continuous random variable.

What is the difference between a variable and a random variable?

Variable vs Random Variable A variable is an unknown quantity that has an undetermined magnitude, and random variables are used to represent events in a sample space or related values as a dataset. A random variable itself is a function. Random variables are associated with probability and probability density function.

What are the 3 types of random variable?

Discrete, • Continuous, and • Singular. In other words, there are three ‘pure type’ random variables, namely discrete random variables, continuous random variables, and singular random variables.

What is the difference between continuous and discontinuous variables?

a variable that has distinct, discrete values but no precise numerical flow. For example, gender can be thought of as a discontinuous variable with two possible values, male or female. In contrast, a continuous variable involves numerically precise information, such as height, weight, and miles per hour.

What is the difference between discrete and continuous variables quizlet?

The difference between a discrete and continuous variable is in regard to the quantitative variable. A discrete variable takes on individual distinct values, and a continuous variable can take on any value within an interval.

What is the similarities and differences between continuous and discrete variable?

Comparison Chart

Basis for Comparison	Discrete Variable	Continuous Variable
Values	Values are obtained by counting.	Values are obtained by measuring.
Classification	Non-overlapping	Overlapping
Assumes	Distinct or separate values.	Any value between the two values.
Represented by	Isolated points	Connected points

What is the difference between discrete and continuous random variables?

A discrete random variable has a finite number of possible values. A continuous random variable could have any value (usually within a certain range). A discrete random variable is typically an integer although it may be a rational fraction.

When is a variable said to be discrete?

However no values can exist in-between two categories, i.e. it does not attain all the values within the limits of the variable. So, the number of permitted values that it can suppose is either finite or countably infinite. Hence if you are able to count the set of items, then the variable is said to be discrete.

What is a continuous variable in statistics?

Definition of Continuous Variable Continuous variable, as the name suggest is a random variable that assumes all the possible values in a continuum. Simply put, it can take any value within the given range. So, if a variable can take an infinite and uncountable set of values, then the variable is referred as a continuous variable.

Which random variable takes 11 values only?

Here the random variable “X” takes 11 values only. Since “X” takes only a finite or countable values, “X” is called as discrete random variable.