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

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

A discrete variable is a variable whose value is obtained by counting. A continuous variable is a variable whose value is obtained by measuring.

Is a value of x possible is a discrete random variable or a continuous random variable?

If X represents the number of times that the coin comes up heads, then X is a discrete random variable that can only have the values 0, 1, 2, 3 (from no heads in three successive coin tosses to all heads). No other value is possible for X.

What are examples of discrete and continuous variables?

Difference between Discrete and Continuous Variable

Discrete Variable	Continuous Variable
Examples: Number of planets around the Sun Number of students in a class	Examples: Number of stars in the space Height or weight of the students in a particular class

What are the possible values of the random variable X?

Then X is a random variable. Its possible values are 1, 2, 3, 4, 5, and 6; each of these possible values has probability 1/6. 4. The word “random” in the term “random variable” does not necessarily imply that the outcome is completely random in the sense that all values are equally likely.

What are continuous values?

Continuous variables are numeric variables that have an infinite number of values between any two values. A continuous variable can be numeric or date/time. For example, the length of a part or the date and time a payment is received.

What type of values can discrete data take?

Discrete data is information that can only take certain values. These values don’t have to be whole numbers (a child might have a shoe size of 3.5 or a company may make a profit of £3456.25 for example) but they are fixed values – a child cannot have a shoe size of 3.72!

How do you find the possible values of a random variable?

Step 1: List all simple events in sample space. Step 2: Find probability for each simple event. Step 3: List possible values for random variable X and identify the value for each simple event. Step 4: Find all simple events for which X = k, for each possible value k.

What do you call a random variable with possible values that form of finite or countable set?

A random variable is called discrete if its possible values form a finite or countable set. A random variable is called continuous if its possible values contain a whole interval of numbers.

What are examples of discrete data?

Examples of discrete data include the number of people in a class, test questions answered correctly, and home runs hit. Tables, or information displayed in columns and rows, and graphs, or structured diagrams that display the relationship among variables using two axes, are two ways to display discrete data.

What is a discrete variable example?

Discrete variables are countable in a finite amount of time. For example, you can count the change in your pocket. You can count the money in your bank account. You could also count the amount of money in everyone’s bank accounts.

How do you determine possible values of random variable?

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

A continuous variable is a variable whose value is obtained by measuring. A random variable is a variable whose value is a numerical outcome of a random phenomenon. A discrete random variable X has a countable number of possible values. Example: Let X represent the sum of two dice.

Can the outcome of a random experiment be a number?

The outcome of a random experiment need not be a number, but we are often interested in some (numerical) measurement of the outcome. For example, the Number of Heads obtained is numeric in nature can be 0, 1, or 2 and is a random variable. De\\fnition (Random Variable)

What are the characteristics of a random variable?

▪ A random variable is denoted with a capital letter. ▪ The probability distribution of a random variable X tells what the possible values of X are and how probabilities are assigned to those values. ▪ A random variable can be discrete or continuous. A discrete random variable X has a countable number of possible values.

How to graph the probability distribution of a discrete random variable?

A discrete random variable X has a countable number of possible values. Example: Let X represent the sum of two dice. Then the probability distribution of X is as follows: To graph the probability distribution of a discrete random variable, construct a probability histogram.