probability

probability : Probability, or chance, is a way of expressing knowledge or belief that an event will occur or has occurred. In mathematics the concept has been given an exact meaning in probability theory, that is used extensively in such areas of study as mathematics, statistics, finance, gambling, science, and philosophy to draw conclusions about the likelihood of potential events and the underlying mechanics of complex systems. The word probability does not have a consistent direct definition. In fact, there are two broad categories of probability interpretations, whose adherents possess different (and sometimes conflicting) views about the fundamental nature of probability: The word probability derives from probity, a measure of the authority of a witness in a legal case in Europe, and often correlated with the witness's nobility. In a sense, this differs much from the modern meaning of probability, which, in contrast, is used as a measure of the weight of empir....   More from Wikipedia

probability : Regular conditional probability is a concept that has developed to overcome certain difficulties in formally defining conditional probabilities for continuous probability distributions. It is defined as an alternative probability measure conditioned on a particular value of a random variable...   More from Wikipedia

probability : In mathematics and statistics, a probability distribution, more properly called a probability density, assigns to every interval of the real numbers a probability, so that the probability axioms are satisfied. See also: Computers & Math Statistics Math Puzzles Mathematics One of many applications of probability distribution is by actuaries evaluating risk within the insurance industry.. For more information about the topic Probability distribution, read the full article at Wikipedia.org, or see the following related articles: Random variable — A random variable is a mathematical function that maps outcomes of random experiments to numbers. It can be thought of as the numeric result of ...  > read more Probability theory — Probability theory is the mathematical study of phenomena characterized by randomness or uncertainty. More precisely, probability is used for ...  > read more Uniform distribution (continuous) — In mathematics, the continuous uniform distributions are probab....   More from Science Daily

probability : Probability theory is the mathematical study of phenomena characterized by randomness or uncertainty. See also: Earth & Climate Computers & Math Statistics Mathematics Mathematical Modeling More precisely, probability is used for modelling situations when the result of an experiment, realized under the same circumstances, produces different results (typically throwing a dice or a coin). Mathematicians and actuaries think of probabilities as numbers in the closed interval from 0 to 1 assigned to "events" whose occurrence or failure to occur is random.. For more information about the topic Probability theory, read the full article at Wikipedia.org, or see the following related articles: Random variable — A random variable is a mathematical function that maps outcomes of random experiments to numbers. It can be thought of as the numeric result of ...  > read more Symmetry in mathematics — Symmetry in mathematics occurs not only in geometry, but also in other branches of mathematics.....   More from Science Daily

  What probability is.

  Calculating the Probability of Simple Events. In this video I show the basic idea and a few simple examples of calculating the probability of simple events! For more free math videos, visit JustMathTutoring.com

Question : An airlinr esrimates that 90% of people booked on their flights actually show up.If the airkine books 71 people on a flight for the maximum number is 69,what is the probability that the number of people who show up will exceed the capacity of the plane?

Answer : It is probably far less than 1%. Or do you want the full Pascal statistical formulae? All airlines do it, and they would be fools not to...   More from Yahoo Answers

Question : Suppose an examination given to students after 3 years of computer studies is designed so that 80% of the students will pass it. Of 20 randomly chosen students who take this examination, what is the probability that (i) 16 or more will pass, (ii) 10 or less will pass? (iii) What is the mean number in a randomly chosen group of 18 who will pass it? Hmm sorry for asking so many questions... But I really don't know how to do... I have tried it and my answers are wrong... I don't know ho..

Answer : Are you familiar with the 'Binomial distribution'? The Binomial distribution has the probability function P(x=r)= nCr p^r (1-p)^(n-r) r=0,1,2,.....,n where nCr = n! / r! (n-r)! (i) n=20 (number of students) p = 0.80 (probability that a student will pass) r=16 or more, that is 16,17,18,19,20 P(16)=0.2182 P(17)=0.2054 P(18)=0.1369 P(19)=0.0576 P(20)=0.0115 Add them up: 0.6236 (ii) 10 or less = p(0)+p(1)+p(2)+p(3)+p(4)+p(5)+p(6)+p(7)+p(8)+p(9)+p(10) p(0)=0.0 p(1)=0.0 p(2)=0.0 p(3)=0.0 p(4)=0.0 p(5)=0.0 p(6)=0.0 p(7)=0.0 p(8)=0.0001 p(9)=0.0005 p(10)=0.0020 Adding, 0.0026 (iii)Mean =np 18 x 0.8 = 14.4 =14..   More from Yahoo Answers

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