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Importance and Application of probability:
Importance of probability theory is in all those areas where event are not certain to take place as same as starting with games of chances. Probability has become one of the basis tools of statistics. Statistics and probability are much interrelated with each other that it is difficult to discuss statistics without understanding the meaning of probability. A knowledge of probability theory makes it easier, simpler and possible to interpret the statistical result, as many of the statistical procedures include involve conclusions based on samples which are randomly choosen.
Probability theory is being applied not only in mathematical problems but also for the solutions of social economical, political and business problems. The insurance insustry emerged in the 19th century, required exact or definite knowledge about the risk of loss inorder to calculate premium. Within few decades the concept of probability has assumed great importance and the mathematical theory of probability has become the basis of statistical application and social and decision making. In fact probability has become a part of everyone life. In personal and management decisions one faces uncertainty and uses probability theory. By organising information and considering it systematically, one will be able to recognise his or her assumptions, communicate his or reasoning to others and make a better decision than he or she could by using a shot in the dark approach. Probability theory in fact is the foundation of statistical conclusion or inference.
Rank Correlation Sometimes the characteristics whose possible correlation is being investigated, cannot be measured but individuals can only be ranked on the basis of the chara
Now, let's look at a different linear combination. Suppose we are interested n comparing the average mean log income for no college education ( 16). 1. Write out the linear com
Find unlabeled data set test.txt and initial centroids data set centroids.txt in the archive, both files have the following format: [attribute1_value attribute2_value ...
You will recall the function pnorm() from lectures. Using this, or otherwise, Dteremine the probability of a standard Gaussian random variable exceeding 1.3. Using table(), or
The displacement of a simply supported beam subject to a uniform load is given by the solution of the following differential equation (for small displacements); and q is th
Standard Deviation The concept of standard deviation was first introduced by Karl Pearson in 1893. The standard deviation is the most important and the popular measure of disp
Suppose that in the actual survey of 50 prospective customers, 6 subscribe to the 3 for all offer, what does this tell you about the previous estimate of the proportion of customer
Circles or Pie Diagram: Circles or pie diagrams are alternative to squares. These are used for the same purpose i.e. when the values are differing widely in their magnitude
What would be the cutoff score to indicate a score that is in the top 15% of the scores on a test with a mean of 100 and a standard deviation of 15? This question has multiple p
Definition of Central Tendency The central tendency of a variable means a typical value around which other values tend to concentrate which can be measured. Such concentration
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