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How often the value of a random variable is at or below a certain value.

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6mo ago

The probability of a random variable being at or below a certain value is defined as the cumulative distribution function (CDF) of the variable. The CDF gives the probability that the variable takes on a value less than or equal to a given value.

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How often the value of a random variable is at or below a certain value?

How often the value of a random variable is at or below a certain value.


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

A random number is also called a random deviate or pseudo random number. It is a value that is generated by a computer, given a probability distribution. The uniform random number is distributed according to the uniform distribution with values from 0 to 1 and is often used to generate other numbers that follow other distributions. The relative frequency plot of random numbers generated using a particular distribution may not be exactly equal to the particular distribution, due to the limited number of points. But, as the number of random deviates increases, the frequency plot will more closely approximate the given distribution. Random variable have both an intuitive and mathematical definitions. Probability theory is based on sets of events. A throw of coin will have certain outcomes. The random variable, X, links or maps these events to values. A coin can come up heads, so the mapped random variable of this outcome can be 0, and for tails, the random variable of this outcome can be 1. The mathematical definition is a bit more complex- see related links. A random variable is associated with what is considered a random process. If we know the outcome without any uncertainty, we would call it an deterministic process and the outcomes deterministic variables.


What is one independent variable?

Time is often an independent variable.


Definition of independent variable and controlled variable?

Manipulated Variable- the one that is changed by the scientist.Controlled Variable- quantities that a scientist wants to remain constant.Responding Variable- the results of the experimentIndependent Variable- a variable (often denoted by x) whose variation does not depend on that of another. Variable that is being tested.y)_whose_value_depends_on_that_of_another._Variable_that_is_being_measured.">Dependent Variable- a variable (often denoted by y) whose value depends on that of another. Variable that is being measured.a independent variable is- what is what is being put down such as ex.) for a land yacht say the independent variable is 300. That is the independent variable because it is what the area can bea variable kept constant through out an experiment that stays the same each trial


What is the difference between corelation and regression?

I've included links to both these terms. Definitions from these links are given below. Correlation and regression are frequently misunderstood terms. Correlation suggests or indicates that a linear relationship may exist between two random variables, but does not indicate whether X causes Yor Y causes X. In regression, we make the assumption that X as the independent variable can be related to Y, the dependent variable and that an equation of this relationship is useful. Definitions from Wikipedia: In probability theory and statistics, correlation (often measured as a correlation coefficient) indicates the strength and direction of a linear relationship between two random variables. In statistics, regression analysis refers to techniques for the modeling and analysis of numerical data consisting of values of a dependent variable (also called a response variable) and of one or more independent variables (also known as explanatory variables or predictors). The dependent variable in the regression equation is modeled as a function of the independent variables, corresponding parameters ("constants"), and an error term. The error term is treated as a random variable. It represents unexplained variation in the dependent variable. The parameters are estimated so as to give a "best fit" of the data. Most commonly the best fit is evaluated by using the least squares method, but other criteria have also been used.

Related questions

How often the value of a random variable is at or below a certain value?

How often the value of a random variable is at or below a certain value.


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

A random number is also called a random deviate or pseudo random number. It is a value that is generated by a computer, given a probability distribution. The uniform random number is distributed according to the uniform distribution with values from 0 to 1 and is often used to generate other numbers that follow other distributions. The relative frequency plot of random numbers generated using a particular distribution may not be exactly equal to the particular distribution, due to the limited number of points. But, as the number of random deviates increases, the frequency plot will more closely approximate the given distribution. Random variable have both an intuitive and mathematical definitions. Probability theory is based on sets of events. A throw of coin will have certain outcomes. The random variable, X, links or maps these events to values. A coin can come up heads, so the mapped random variable of this outcome can be 0, and for tails, the random variable of this outcome can be 1. The mathematical definition is a bit more complex- see related links. A random variable is associated with what is considered a random process. If we know the outcome without any uncertainty, we would call it an deterministic process and the outcomes deterministic variables.


What represents an unknown or changeable value?

In mathematical expressions, a variable (a letter used to represent a certain value) represents an unknown or changeable value. It is often the variable x.


What is the meaning of the word skewness?

The word skewness means the measure of a random variable, which can be positive, negative or undefined. Quite often you may hear that someone has "skewed the numbers".


Can a life insurance policy own a variable annuity?

No. These are two different animals. There are variable life insurance policies as well as variable annuities. These are often tied to the results of certain type of mutual funds or stock indexes but they are separate contracts.


How do calculate the probability of at most?

For a discrete variable, you add together the probabilities of all values of the random variable less than or equal to the specified number. For a continuous variable it the integral of the probability distribution function up to the specified value. Often these values may be calculated or tabulated as cumulative probability distributions.


What is a continuous random variable?

In the simplest setting, a continuous random variable is one that can assume any value on some interval of the real numbers. For example, a uniform random variable is often defined on the unit interval [0,1], which means that this random variable could assume any value between 0 and 1, including 0 and 1. Some possibilities would be 1/3, 0.3214, pi/4, e/5, and so on ... in other words, any of the numbers in that interval. As another example, a normal random variable can assume any value between -infinity and +infinity (another interval). Most of these values would be extremely unlikely to occur but they would be possible. The random variable could assume values of 3, -10000, pi, 1000*pi, e*e, ... any possible value in the real numbers. It is also possible to define continue random variables that assume values on the entire (x,y) plane, or just on the circumference of a circle, or anywhere that you can imagine that is essentially equivalent (in some sense) to pieces of a real line.


What is the default value of register storage class?

Register storage class is a compiler hint that the variable will be often used, and that it should generate code, if it can, to keep the variable's value in a register.


What is one independent variable?

Time is often an independent variable.


What is relationship between x and y variable?

Often the x variable is the independent variable and the y variable depends on x.


What Individuals who live below the poverty line get seriously ill more often than those who do not What could be the hidden variable in this situation?

People below the poverty line might have inadequate health insurance.


What does an o with a strikethrough mean in math?

That is the Greek letter theta. It may stand for any variable, but quite often, it is used as a variable that stands for an angle.That is the Greek letter theta. It may stand for any variable, but quite often, it is used as a variable that stands for an angle.That is the Greek letter theta. It may stand for any variable, but quite often, it is used as a variable that stands for an angle.That is the Greek letter theta. It may stand for any variable, but quite often, it is used as a variable that stands for an angle.