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Ch3.1-3.2

Ch3.1-3.2. For a given sample space S of some experiment, a random variable is any rule that associates a number with each outcome in S . Any random variable whose only possible values are 0 and 1 is called a Bernoulli random variable.

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Ch3.1-3.2

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  1. Ch3.1-3.2 For a given sample space S of some experiment, a random variable is any rule that associates a number with each outcome in S . Any random variable whose only possible values are 0 and 1 is called a Bernoulli random variable. A discrete random variable is an RV whose possible values either constitute a finite set or else can listed in an infinite sequence. A random variable is continuous if its set of possible values consists of an entire interval on a number line. Ch3.1-3.2

  2. 3.1-3.2 The probability distribution or probability mass function (pmf) of a discrete RV is defined for every number x by p(x) = S The cumulative distribution function (cdf) F(x) of a discrete RV variable X with pmfp(x) is defined for every number by For any number x, F(x) is the probability that the observed value of X will be at most x. Ch3.1-3.2

  3. 3.1-3.2 Proposition: For any two numbers a and b with “a–” represents the largest possible X value that is strictly less than a. Note: For integers Ch3.1-3.2

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