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RQ 6 - Solutions
RQ 6 - Solutions

... 3. In the Duke’s ticket chamber, there are 100 boxes—70 black boxes and 30 brown boxes. Each black box contains 500 red tickets and 100 blue tickets, and in each brown box there are 40 red tickets and 60 blue tickets. One dark and stormy night, the Duke’s ticket flunky enters the ticket chamber, whi ...
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Notes 3 - Wharton Statistics
Notes 3 - Wharton Statistics

... Action space: The action space A is the set of possible actions, decisions or claims that we can contemplate making after observing the data X . For Example 1, the action space is the possible estimates of p (probability of the dam being overtopped), A  [0,1] . For Example 2, the action space is { ...
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course material

From Tools to Theories: A Heuristic of Discovery in Cognitive
From Tools to Theories: A Heuristic of Discovery in Cognitive

... ies heuristic to generate quite innovative theories. Second, I provide evidence for the "blindness" or inability of researchers to discover and accept the conception o f the mind as an intuitive statistician before they became familiar with inferential statistics as part of their daily routine. The ...
One Proportion z-Test
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... 4. It looks like it to me since 29 say that they feel sure I don’t drink or they think I probably don’t drink and 29 also say they do not drink. 5. Type I error is a particular man is the father, but the DNA paternity test says he’s not. Type II error is a particular man is not the father, but the ...
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Calibration of P-values for Testing Precise Null Hypotheses

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... two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, ...
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EMTH210 Engineering Mathematics Elements of probability and

... Remark 2.8 How big is a set? Consider the set of students enrolled in this course. This is a finite set as we can count the number of elements in the set. Loosely speaking, a set that can be tagged uniquely by natural numbers N = {1, 2, 3, . . .} is said to be countably infinite. For example, it can ...
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Asymptotic Liberation in Free Probability Josu´ e Daniel V´ azquez Becerra

... when used for conjugation, and therefore provide a way of constructing asymptotically free sequences of families of random matrices. The aim of this project is to give a new proof of the main theorem of [1] which establishes sufficient conditions on a sequence of families of random unitary matrices ...
Pdf - Text of NPTEL IIT Video Lectures
Pdf - Text of NPTEL IIT Video Lectures

... having this kind of dice, if I just have a dice which is having different colours. Suppose that, this is having a blue colour, this side is having my say red colour, this side is having green colour and similarly six different faces having six different colours. Then, what I am trying to do is that, ...
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Probability

Probability is the measure of the likeliness that an event will occur. Probability is quantified as a number between 0 and 1 (where 0 indicates impossibility and 1 indicates certainty). The higher the probability of an event, the more certain we are that the event will occur. A simple example is the toss of a fair (unbiased) coin. Since the two outcomes are equally probable, the probability of ""heads"" equals the probability of ""tails"", so the probability is 1/2 (or 50%) chance of either ""heads"" or ""tails"".These concepts have been given an axiomatic mathematical formalization in probability theory (see probability axioms), which is used widely in such areas of study as mathematics, statistics, finance, gambling, science (in particular physics), artificial intelligence/machine learning, computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe the underlying mechanics and regularities of complex systems.
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