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# 3 1 Concept of a Random Variable

### CHAPTER 3 Random Variables and Probability

Concept of a Random Variable 3.1 The outcome of a random experiment need not be a number.However,we are usually interested not in the outcome itself,but rather in some measurement of the outcome.Example Consider the experiment in which batteries comingBasic Concepts of Discrete Random Variables Solved ProblemsSolution.Let's define the random variable $Y$ as the number of your correct answers to the $10$ questions you answer randomly.Then your total score will be $X=Y+10$.Author Sal Khan11.Probability Distributions - ConceptsSep 20,2018 3 1 Concept of a Random Variable#0183;Concept of Random Variable. The numbers 0,1,2,and 3 are random quantities determined by the outcome of an experiment.They may be thought of as the values assumed by some random variable x,which in this case represents the number of heads when a coin is tossed 3

### 3.1 Concept of a Random Variable

3.1 Concept of a Random Variable Random Variable A random variable is a function that associates a real number with each element in the sample space.In other words,a random variable is a function X :S!R,whereS is the sample space of the random experiment under consideration.N OTE.By convention,we use a capital letter,say X,to denote a 3.0 PROBABILITY,RANDOM VARIABLES AND RANDOM3.0 PROBABILITY,RANDOM VARIABLES AND RANDOM PROCESSES 3.1 Introduction In this chapter we will review the concepts of probability,random variables and random processes.We begin by reviewing some of the definitions of probability.We then define random variables and density functions,and review some of the operations on random variables.3.0 PROBABILITY,RANDOM VARIABLES AND RANDOM3.0 PROBABILITY,RANDOM VARIABLES AND RANDOM PROCESSES 3.1 Introduction In this chapter we will review the concepts of probability,random variables and random processes.We begin by reviewing some of the definitions of probability.We then define random variables and density functions,and review some of the operations on random variables.

### 1.3.Random Variables Mathematical Foundations of

May 01,2012 3 1 Concept of a Random Variable#0183;1.3.5.Variance of a Random Variable.The variance of a random variable is defined by V(X) = E[(X E[X]) 2].Intuitively,it shows how far away the values taken on by a random variable would be from its expected value.We can express the variance of a random variable in terms of two expectations as V(X) = E[X 2] E[X] 2.For results for this questionWhat is the concept of random variables?What is the concept of random variables?This is the basic concept of random variables and its probability distribution.Here the random variable is the number of the cars passing.It is not constant.It can also vary from the type of the events we are interested in.A variable is something which can change its value.It may vary with different outcomes of an experiment.Random Variable and Its Probability Distribution results for this questionHow do you find the probability of a random experiment?How do you find the probability of a random experiment?For any event of a random experiment,we can find its corresponding probability.For different values of the random variable,we can find its respective probability.The values of random variables along with the corresponding probabilities are the probability distribution of the random variable.Assume X is a random variable.Random Variable and Its Probability Distribution

### results for this questionFeedbackRandom Variables - MATH

ProbabilitySolvingContinuousSummaryWe can show the probability of any one value using this style P(X = value) = probability of that valueSee more on mathsisfunCHAPTER 3 Random Variables and ProbabilityConcept of a Random Variable 3.1 The outcome of a random experiment need not be a number.However,we are usually interested not in the outcome itself,but rather in some measurement of the outcome.Example Consider the experiment in which batteries coming results for this questionAre random variables discrete or continuous?Are random variables discrete or continuous?Random Variables can be either Discrete or Continuous Discrete Data can only take certain values (such as 1,2,3,4,5) Continuous Data can take any value within a range (such as a person's height)Random Variables - MATH

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