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Discrete Random Variables
Discrete Random Variables

... Recall your analysis of distributing four babies to their mothers at random. You found that there are 24 equally likely outcomes in the sample space of this process. You also calculated the number of matches for each of the outcomes, as follows: ...
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PPT - Med Study Group

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1 - NEMCC Math/Science Division

4.53 In each of the following situations decide if the random... discrete or continuous and give a reason for your answer.
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... 4.57 Tossing two dice. Some games of chance rely on tossing two dice. Each die has six faces, marked with 1, 2,…, 6 spots called pips. The dice used in casinos are carefully balanced so that each face is equally likely to come up. When two dice are tossed, each of the 36 possible pairs of faces is e ...
“JUST THE MATHS” SLIDES NUMBER 19.3 PROBABILITY 3
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... VII. Learning methods used Lecture, description, explanation, conversation, discussion, examples, synthesis, group-based work, individual study, homework. Group discussion over theoretical issues, as well as applications and modeling of the notions and methods presented. VIII. Assessment The final g ...
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... Solution: True. This is a quote straight from the textbook definition. (c) Let T be a relation on all integers such that (x, y) ∈ T if and only if there is an integer k such that x + y = 2k. T is an equivalence relation. Solutions: True. The definition says that x and y are related iff x + y is even ...
probability distribution
probability distribution

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... A travel agent offers 4-day and 8-day trips around USA. Based on long-range sales, the probability that a customer will book a 4-day trip is 0.75. Of those that book that trip, 60% also order the bus pass. But only 30% of 8-day trip customers order the bus pass. A randomly selected buyer purchases a ...
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Genetics lectures 1, 5-10`

... ity of a, can be defined as follows: after a very large number of trials, p(a) is simply the fraction of trials that give outcome a. In principle, we could determine p(a) by actually performing a large number of trials and directly measuring the fraction of trials that produce event a. This is somet ...
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Lecture 5. Reminder + Warming-up Conditional Probability

< 1 ... 303 304 305 306 307 308 309 310 311 ... 412 >

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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