Probability and complex function: Unit I: Probability and random variables

Random Variable

Types

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A random variable is a rule that assigns a numerical value to each possible outcome of an experiment.

RANDOM VARIABLE

A random variable is a rule that assigns a numerical value to each possible outcome of an experiment.

1. Discrete Random Variables, 2. Continuous Random Variables [A.U CBT Dec. 2009]

1. Random variable

A real-valued function defined on the outcome of a probability experiment is called a random variable.

2. Probability distribution function of X.

If X is a random variable, then the function F(x), defined by

F(x) = P(X ≤ x} is called the distribution function of X.

 

Probability and complex function: Unit I: Probability and random variables : Tag: : Types - Random Variable

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Probability and complex function: Unit I: Probability and random variables


Probability and random variables - Introduction

Some important terms of probability

Axioms of probability - Theorem, Proof, Solved Example Problems

Exercises 1.1 (Axioms of probability) - Problems with Answer

Conditional Probability - Theorem, Proof, Solved Example Problems

Baye's Theorem - Solved Example Problems | Probability

Exercise 1.2 and Exercise 1.3 (Conditional Probability, Baye's Theorem) - Problems with Answer

Random Variable - Types

(i) Discrete random variable

Discrete random variable: Formula, Solved Example Problems

(ii) Continuous random variables - Formula, Solved Example Problems

Exercises 1.4 and 1.5 (Discrete and Continuous random variable) - Problems with Answer

Moments - moment generating functions and their properties - Formula, Solved Example Problems | Random variables

Exercises 1.6 (Moments - moment generating functions) - Problems with Answer | Random variables

Binomial distribution - Random variables

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