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Take home section - People Server at UNCW
Take home section - People Server at UNCW

... sea otters differs in cold water temperatures relative to some hypothesized value. From some pilot data, I have been able to estimate the variance at 6.4. I would like to be able to detect a difference of about 2 grams of prey eaten per unit time. Assuming I set my type I error rate at 0.05, what ki ...
Conditional Probability and Independent Events
Conditional Probability and Independent Events

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probability-stats

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... (5) The events A, B are said to be statistically independent if P (A ∩ B) = P (A)P (B). This set of axioms was provided by Kolmogorov in 1936. Operations on Sets. The axioms of probability concern sets of events. In order to employ these axioms, it is necessary to invoke the rules of Boolean algebra ...
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What is probability?

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Lecture 32: Counting the Number of Distinct Elements in a Strem

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Unit 4 Review Packet

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... In the case of a die, we know all of the possible outcomes ahead of time, and we also know a priori what the likelihood of a certain outcome is. But in many other situations in which we would like to estimate the likelihood of an event, this is not the case. For example, suppose that we would like t ...
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... any time, x be any real number in the unit interval, Cht(p) = x be the proposition that the chance, at time t, of p’s holding equals x, and E be any proposition compatible with Cht(p) = x that is admissible at t. Then, C(p |Cht(p) = x & E) = x ...
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JSUNILTUTORIAL, SAMASTIPUR X Mathematics Assignments Chapter: probability

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Expectations, Variances, Covariances, and Sample Means

... the case and to examine distributions for these estimators, it will su¢ ce to focus in X̄(100). Collect 100 i.i.d. observations (Xi ) and construct X̄1 (100) as the sample in this …rst sample of 100 observations. Collect a second set of 100 observations and construct X̄2 (100) as the sample mean in ...
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ExamView - Binomial Probability Problem Set

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... d. If the person reports that they in fact rolled a 3, calculate the probability that the selected die was red. e. If the person reports that they in fact rolled a 3, calculate the probability that the selected die was six-sided. Show your work. ...
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Independence of the Sample Mean and Variance for Normal

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Probability box



A probability box (or p-box) is a characterization of an uncertain number consisting of both aleatoric and epistemic uncertainties that is often used in risk analysis or quantitative uncertainty modeling where numerical calculations must be performed. Probability bounds analysis is used to make arithmetic and logical calculations with p-boxes.An example p-box is shown in the figure at right for an uncertain number x consisting of a left (upper) bound and a right (lower) bound on the probability distribution for x. The bounds are coincident for values of x below 0 and above 24. The bounds may have almost any shapes, including step functions, so long as they are monotonically increasing and do not cross each other. A p-box is used to express simultaneously incertitude (epistemic uncertainty), which is represented by the breadth between the left and right edges of the p-box, and variability (aleatory uncertainty), which is represented by the overall slant of the p-box.
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