Law for a random variable

The law of a random variable is the probability measure PX−1:S→R ⁢ X - 1 : S → ℝ defined by PX−1(s)=P(X−1(s)) ⁢ ⁢ ⁢ ⁢ .
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random variable.

1. What is the formula of random variable?
2. What does law mean in probability?
3. What is the law of probability distribution?
4. What is the formula for random probability?

What is the formula of random variable?

Let the random variable X assume the values x₁, x₂, …with corresponding probability P (x₁), P (x₂),… then the expected value of the random variable is given by: Expectation of X, E (x) = ∑ x P (x).

What does law mean in probability?

The laws of probability are a collection of equations that define probabilistic relationships among events. The validity of each equation, or probability law, often depends on the events having met certain conditions.

What is the law of probability distribution?

Probability distribution yields the possible outcomes for any random event. It is also defined based on the underlying sample space as a set of possible outcomes of any random experiment. These settings could be a set of real numbers or a set of vectors or a set of any entities.

What is the formula for random probability?

P (X) = n/N; where 'n' is the number of the favourable outcomes and 'N' is the number of total possible outcomes.