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Probability Distributions, Cumulative Distributions and

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... 6. Your significant other is supposed to pick you up at 5pm. The probability that said other remembered to buy gas is 60%. If said other remembered there is a 90% probability that you will be picked up on time. If buying gas was forgotten the probability that you will be picked up on time is 60%. No ...
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... • This material is copyrighted and is for the sole use of students registered in MTHE/STAT 353 and writing this examination. This material shall not be distributed or disseminated. Failure to abide by these conditions is a breach of copyright and may also constitute a breach of academic integrity un ...
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... number-words are the common numerical words that count units. Berkeley lists “14 such words expressing 12 numerical ideas: ‘one,’ ‘a,’ ‘two,’ ‘three,’ ‘four,’ ‘five,’ ‘six,’ ‘seven,’ ‘eight,’ ‘nine,’ ‘ten,’ ‘eleven,’ ‘twelve,’ ‘dozen.’” To some of the words from this list we append the suffixes “-te ...
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... • Whenever a sample space consists of N possible outcomes that are equally likely, the probability of each outcome is 1/N. • Example: In a batch of 100 diodes, 1 is colored red. A diode is randomly selected from the batch. Random means each diode has an equal chance of being selected. The probabilit ...
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... Similarly, if the P(the variable has a value of x or less) < 0.05, then you can consider this an unusually low value. Another way to think of this is if the probability of getting a value as small as x is less than 0.05, then the event x is considered unusual. Why is it "x or more" or "x or less" in ...
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... If P-value ________, we reject H0 and say that the data are significant at level α. If P-value ________, we do not reject H0. 5. Interpretation of the test results Give a simple explanation of your conclusions in context of the application. ...
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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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