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Section 9.1 - USC Upstate: Faculty
Section 9.1 - USC Upstate: Faculty

Applied Calculus (2nd. Ed.)
Applied Calculus (2nd. Ed.)

... probability of the client's dying at various ages. There are so many possible ages to consider (particularly since we should consider the possibilities month by month) that it would be easier to treat his age at death as a continuous variable, one that can take on any real value (between 22 and 95 i ...
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... 11. Find and correct the error in the solution to the following problem: Problem: You flip two coins and want to find the probability that both coins show heads. Solution: There are three possible outcomes: 2 heads, 2 tails, or 1 head and 1 tail. Since a “success” is one of these three outcomes, p( ...
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... A) About 1.00 standard deviations above the mean B) About 2.00 standard deviations below the mean C) About 1.00 standard deviations below the mean D) About 2.00 standard deviations above the mean E) About 5.33 standard deviations above the mean Solve the problem. 8) The mean weights for medium navel ...
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old-01
old-01

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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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