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a set of rules that assigns a numerical value to each outcome of a random experiment Ex. changing the random experiment to numbers from heads/tails |
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a lisiting of all possible values of a random variable along with the associated probabilities |
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Average Squared Error/Risk |
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In case of ties we choos the alternate with the smallest....... |
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1. Dicotomous (two outcomes) 2. Stable and doesn't vary from trial to trial 3. Independence |
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Bernouli Process (first process) |
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1. Dicotomous (two outcomes) |
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Bernoulli Process (Second Process) |
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2. Stable and doesn't vary from trial to trial |
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Bernoulli Process (Third Process) |
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a probability distribution of the number of successes for a Bernoulli process of "n" trials with a "p" probability of success for each trial |
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For the table of Binomial Probabilities |
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P at the top: left side for n and x P at the bottom: right side for n and x |
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Expected Value/mean formula for Binomial Distributions only: |
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Variance for Binomial Distributions only: |
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The other names for the "Bell Shape Curve" |
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Gaussian Distribution White Noise Distributin "The" Curve (Normal Distribution) |
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Every true normal distribution varies from: |
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a probability distribution of a sample statistic for all values of that sample statistic for a given sample size "n" |
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the sample size (number of observations in each sample) gets large (i.e. greater than or equal to 30). The sampling distribution of the mean can be approximated by a normal distribution (with a mean of theses means equal to the population mean (μx) and a variance equal to the population variance divided by the sample size (σx ). ) n |
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The standard deviation of any sampling distribution is called...... |
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Weak Central Limit Therom |
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if the population is normally distributed, then the sampling distribution of the mean is normally distributed for any sample size n. |
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As the sample size decreases, the variance amont the sample mean |
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For any continuous random variable, the probability that the random variable takes on exactly a specific value is |
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A mutually exclusive listing of of all possible values of a randmo variable and their associated probabilites is called a |
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The best answer name of the standard deviation of a sampling distribution is |
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For a standard normal probability distribution, a negative Z value indicates |
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the Z is to the left of the mean |
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In a standard normal distribution, the range of the values of z is |
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For every normal distribution, the following are equal |
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Whenever the population is normally distributed, the sampling distribution of the mean is a normal distribution |
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