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Asked by: Evan Spinka
Updated: 22 July 2021 12:25:00 AM

What is a continuous distribution?

Continuous probability distribution: A probability distribution in which the random variable X can take on any value (is continuous). Because there are infinite values that X could assume, the probability of X taking on any one specific value is zero. The normal distribution is one example of a continuous distribution.

Bearing in mind, what is an example of a continuous probability distribution?

The probability that a particular random variable will equal a certain value is zero. For example, let's say you had a continuous probability distribution for men's heights. The chart shows that the average man has a height of 70 inches (50% of the area of the curve is to the left of 70, and 50% is to the right).

With this consideration in mind, what are four common types of continuous distribution?

Continuous Distributions
  • Some Important Points to Remember – About Continuous Distributions:
  • Trivia:
  • Types of Continuous Distributions:
  • Beta Distribution:
  • Triangular Distribution:
  • Normal and Lognormal Distributions.
  • Uniform Distributions.
  • Cumulative Distributions.

With this in view how do you tell if a distribution is discrete or continuous?

A discrete distribution is one in which the data can only take on certain values, for example integers. A continuous distribution is one in which data can take on any value within a specified range (which may be infinite).
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Related questions and answers

What is an example of continuous random variable?

In general, quantities such as pressure, height, mass, weight, density, volume, temperature, and distance are examples of continuous random variables. Between any two values of a continuous random variable, there are an infinite number of other valid values.

How do you know if a distribution is discrete probability?

A discrete probability distribution lists each possible value that a random variable can take, along with its probability. It has the following properties: The probability of each value of the discrete random variable is between 0 and 1, so 0 ≤ P(x) ≤ 1. The sum of all the probabilities is 1, so ∑ P(x) = 1.

What is discrete probability distribution in statistics?

A discrete distribution is a statistical distribution that shows the probabilities of discrete (countable) outcomes, such as 1, 2, 3 Overall, the concepts of discrete and continuous probability distributions and the random variables they describe are the underpinnings of probability theory and statistical analysis.

Is marital status quantitative or qualitative?

Quantitative data measure either how much or how many of something, and qualitative data provide labels, or names, for categories of like items. For example, suppose that a particular study is interested in characteristics such as age, gender, marital status, and annual income for a…

What are 3 examples of qualitative data?

Examples of qualitative data include sex (male or female), name, state of origin, citizenship, etc. A more practical example is a case whereby a teacher gives the whole class an essay that was assessed by giving comments on spelling, grammar, and punctuation rather than score.

What is a discrete probability distribution What are the two conditions?

What are the two conditions that determine a probability​ distribution? The probability of each value of the discrete random variable is between 0 and​ 1, inclusive, and the sum of all the probabilities is 1. You just studied 5 terms!

Is gender a discrete or continuous variable?

Variable Reference Table : Few Examples
VariableVariable TypeVariable Scale
GenderDiscreteCategorical
Gender as Binary 1/0 CodingDiscreteCategorical
True/FalseDiscreteCategorical
Phone NumberDiscreteNominal

Does a discrete probability distribution have to equal 1?

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.

What is the difference between discrete and continuous probability distribution?

A discrete distribution means that X can assume one of a countable (usually finite) number of values, while a continuous distribution means that X can assume one of an infinite (uncountable) number of different values.

What is discrete probability distribution example?

If you roll a six, you win a prize. Game 2: Guess the weight of the man. If you guess within 10 pounds, you win a prize. One of these games is a discrete probability distribution and one is a continuous probability distribution.

Is the square footage of a house discrete or continuous?

Explanation: It depends to what accuracy it is measured, but essentially and for practical purposes it is probably best treated as continuous. If it was always rounded to the nearest 100 square feet then you might treat it as discrete.

Is heart rate a discrete or continuous variable?

Variables such as heart rate, platelet count and respiration rate are in fact discrete yet are considered continuous because of large number of possible values. Only those variables which can take a small number of values, say, less than 10, are generally considered discrete.

Is marital status discrete or continuous?

Continuous a. Discrete data has distinct set of values, which are countable and belonging to whole numbers set e.g. The marital status of a person is a nominal qualitative variable to which a numerical value can not be assigned.

What are 2 examples of quantitative data?

Here are some example of quantitative data:
  • A jug of milk holds one gallon.
  • The painting is 14 inches wide and 12 inches long.
  • The new baby weighs six pounds and five ounces.
  • A bag of broccoli crowns weighs four pounds.
  • A coffee mug holds 10 ounces.
  • John is six feet tall.
  • A tablet weighs 1.5 pounds.

What is the most important continuous distribution?

The probability density function (pdf) of the normal distribution, also called Gaussian or "bell curve", the most important continuous random distribution.

Is GPA a discrete or continuous variable?

For example, the variable " the number of children" is discrete and the variable " GPA" is continuous. Since GPA can take an infinite number of possible values, for example interval 0.0 to 4.0.

What is continuous quantitative data?

continuous data is quantitative data that can be measured. • it has an infinite number of possible values within. a selected range e.g. temperature range.

Is hours of sleep discrete or continuous?

Amount of sleep is a variable. 3, 5, 9 hours of sleep are different values for that variable. Variables can be continuous or discrete. Question: Are these variables discrete or continuous?
Frequency distribution table:
Score (X)Frequency (f)
(Hours)(Number of people with this score)
31
42
56

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

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

Is age continuous or discrete?

We could be infinitly accurate and use an infinite number of decimal places, therefore making age continuous. However, in everyday appliances, all values under 6 years and above 5 years are called 5 years old. So we use age usually as a discrete variable.

Which of the following is continuous distribution?

2. Which of these is a continuous distribution? Explanation: Pascal, binomial, and hyper geometric distributions are all part of discrete distribution which are used to describe variation of attributes. Lognormal distribution is a continuous distribution used to describe variation of the continuous variables.

Is the probability distribution a discrete distribution?

If a random variable is a discrete variable, its probability distribution is called a discrete probability distribution. The random variable X can only take on the values 0, 1, or 2, so it is a discrete random variable.

What are the continuous probability distributions?

Continuous probability distribution: A probability distribution in which the random variable X can take on any value (is continuous). Because there are infinite values that X could assume, the probability of X taking on any one specific value is zero. The normal distribution is one example of a continuous distribution.

Is Money discrete or continuous?

A continuous distribution should have an infinite number of values between $0.00 and $0.01. Money does not have this property - there is always an indivisible unit of smallest currency. And as such, money is a discrete quantity.

Which of the following is an example of continuous quantitative data?

A continuous data set (the focus of our lesson) is a quantitative data set that can have values that are represented as values or fractions. Weight, height, temperature, etc. are examples of measurement that would make up a continuous data set. Always remember this: you can't have half a basketball.

Is annual income continuous or discrete?

An annual income of a person is a discrete variable.
This implies it cannot be constant, but if it is more convenient for your program, you can consider it as a continuous attribute, because there are so many meanings for it, again. The profits will often be broken up into groups of polls and other data sets.

What is discrete continuous and qualitative data?

Qualitative Data are not numbers. They may include favorite foods; religions; ethnicities; etc.. Discrete Data are numbers that may take on specific, separated values. Continuous Data are numbers that may take on all sorts of decimal or fractional values.