Random variables and probability distributions

    • [PDF File]Chapter 3 Discrete Random Variables and Probability ...

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      A probability distribution of a random variable X is a description of the probabilities associated with the possible values of X. Example (Number of heads) Let X # of heads observed when a coin is ipped twice. Number of Heads 0 1 2 Probability 1/4 2/4 1/4 Probability distributions for discrete random variables are often given as a


    • [PDF File]RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS

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      RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS 1. DISCRETE RANDOM VARIABLES 1.1. Definition of a Discrete Random Variable. A random variable X is said to be discrete if it can assume only a finite or countable infinite number of distinct values. A discrete random variable can be defined on both a countable or uncountable sample space. 1.2.


    • [PDF File]Random Variables and Probability Distributions

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      Schaum's Outline of Probability and Statistics 36 CHAPTER 2 Random Variables and Probability Distributions (b) The graph of F(x) is shown in Fig. 2-1. The following things about the above distribution function, which are true in general, should be noted.


    • [PDF File]Section 8.1 Distributions of Random Variables

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      Section 8.1 Distributions of Random Variables Random Variable A random variable is a rule that assigns a number to each outcome of a chance experiment. There are three types of random variables: 1. Finite Discrete: The random variable has a finite number, n,ofvaluesitcantakeon,and the random variable can assume any countable collection of ...


    • [PDF File]CHAPTER 3: Random Variables and Probability Distributions

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      CHAPTER 3: Random Variables and Probability Distributions 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.


    • [PDF File]3 Discrete Random Variables and Probability Distributions

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      6 Probability Distributions for Discrete Random Variables Probabilities assigned to various outcomes in the sample space S, in turn, determine probabilities associated with the values of any particular random variable defined on S. The probability mass function (pmf) of X , p(X) describes how the total probability is distributed among all the


    • [PDF File]RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS

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      RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS 1. DISCRETE RANDOM VARIABLES 1.1. Definition of a Discrete Random Variable. A random variable X is said to be discrete if it can assume only a finite or countable infinite number of distinct values. A discrete random variable can be defined on both a countable or uncountable sample space. 1.2.


    • [PDF File]Lecture: Probability Distributions

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      Lecture: Probability Distributions Probability Distributions random variable - a numerical description of the outcome of an experiment. There are two types of random variables – (1) discrete random variables – can take on finite number or infinite sequence of values (2) continous random variables – can take on any value in an interval or ...


    • [PDF File]4 Continuous Random Variables and Probability …

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      4 Probability Distributions for Continuous Variables Suppose the variable X of interest is the depth of a lake at a randomly chosen point on the surface. Let M = the maximum depth (in meters), so that any number in the interval [0, M] is a possible value of X. If we “discretize” X by measuring depth to the nearest meter, then possible values are nonnegative integers less


    • [PDF File]Probability distributions

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      random variables, and lowercase letters, such as x, y, z and a, b, c are used to denote particular values that the random variable can take on. Thus, the expression P(X = x) symbolizes the Probability distributions - Page 1


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