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A numerical measure of the outcome of a probability experiment |
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Possible values of the random variable |
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Has either a finite or countable number of values |
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Continuous random variable |
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Has infinitely many values |
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Probability distribution of a discrete random variable X |
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The possible values of the random variable and their corresponding probabilities |
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2 rules for a discrete probability distribution |
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P(x) denotes the probability that the random variable X equals x 1. Summation P(x) = 1 2. 0<= P(x) <= 1 |
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A histogram in which the horizontal axis corresponds to the value of the random variable and the vertical axis represents the probability of each value of the random variable |
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Mean of discrete random variable, mewx = |
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The mean of a random variable that represents what to expect to happen in the long-run |
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Variance of discrete random variable, sigmaX^2 = |
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Summation[(x-mewx)^2 x P(x)] = Summation[(x^2)(P(x))] - mewx^2 |
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