Which variable can have infinite possible values?
Continuous random variables
Continuous random variables can represent any value within a specified range or interval and can take on an infinite number of possible values.
Can random variables be infinite?
A continuous random variable is one which takes an infinite number of possible values. Continuous random variables are usually measurements. Examples include height, weight, the amount of sugar in an orange, the time required to run a mile. A continuous random variable is not defined at specific values.
Can a random variable be infinite?
A continuous random variable is one which takes an infinite number of possible values. The probability of observing any single value is equal to 0, since the number of values which may be assumed by the random variable is infinite. Suppose a random variable X may take all values over an interval of real numbers.
What does it mean when a random variable is infinite?
If we discuss distinct random variables, infinite means countable. It means that we have a kind of infinite sequence of possible values. In this case, the distribution is given by a pair of two infinite sequences of values and probabilities. Here we need that the finite sum of this, P1, P2, and so on, Pn to be equal to 1.
How is the probability of a random variable given?
Their probability distribution is given by a probability mass function which directly maps each value of the random variable to a probability. For example, the value of x1 x 1 takes on the probability p1 p 1, the value of x2 x 2 takes on the probability p2 p 2, and so on.
Which is an example of an infinite expected value?
Example of infinite expected value 6:56 Random variables. Highlights 3:47 [MUSIC] So far we considered only random variables with finite number of possible values. However, it is possible that we deal with some phenomena in which the corresponding variable can take infinite number of values. This is also possible to consider.
Which is the best definition of a discrete random variable?
discrete random variable: obtained by counting values for which there are no in-between values, such as the integers 0, 1, 2, …. In probability and statistics, a randomvariable is a variable whose value is subject to variations due to chance (i.e. randomness, in a mathematical sense).