use of probability


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Probability of an Event
Probability of an Event - So far, we have introduced the sample of an experiment and used it to describe events. In this section, we introduce probabilities associated to the events. If a trial results in n-exhaustive, mutually exclusive and equally likely cases and m ..
Probability (continued) Introduction
Introduction - From our earlier chapter we know that, in statistical experiments, if the events A and B are independent, then But suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be explained by conditional..
Baye's Theorem
Baye's Theorem - In the previous section, we have learnt that i) If A and B are two mutually exclusive events, then ii) Before we state and prove Baye's Theorem, we use the above two rules to state the law of total probability. The law of total probability is usef..
Bayes Theorem, Binomial and Poisson Distributions
Introduction - Suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be explained by conditional probability. Baye's theorem is named after the British mathematician Thomas Bayes who published it in a ..
Military Applications
To provide the required protection at the minimum cost, linear programming is used. This technique is useful to cause maximum damage to the enemy with minimum fuel/cos..
Conclusion
Statistics is an interesting branch of mathematics which is used in various subjects like politics, history, geography, economics to name a f..
Other Applications
A travelling sales man can find the shortest routes to save time / fuel cost. The most economic and efficient manner of locating manufacturing plants and distribution centres may be used. Linear programming may be used for effective and efficient production management and manpo..
Operation of System Of Dams
Linear programming is used to find the variations in water storage of dams which generate power, thus maximising the energy got from the entire syste..
Pie Graph or Pie Chart
Sometimes a circle is used to represent a given data. The various parts of it are proportionally represented by sectors of the circle. Then the graph is called a Pie Graph or Pie Char..
Variables
A set of observations is called a called a collection of data. These observations should possess some common characteristics. They are recorded and used for further study. The quantities such as age, height and number of students are called variable..
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