Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Origin and Development of probability Theory:
The credit for origin and development of probability goes to the European gamblers of 17th century. They used to gamble on games of chance such as throwing a dice, tossing up a coin , horse race, drawing cards from a pack of cards etc. For getting success in above games of chances. They started getting the help of mathematicians. By the deep study and calculations of these mathematicians the theory of probability originated.
All Italian Mathematician Jerome cardoon(1501-1576) was the first person to write a book on probability, Games of chances which was published after his death in 1663. In this book he mentioned all risks involved and rules how to lessen those risks Galileo (1564-1642) an Italian Mathematician, attempted quantitative measures of probability for solving the problems related to the theory of dice in gambling. In mid 17th century two French mathematicians Blaise Pascal (1623-1662) mce_markernbsp; pierre de fermat gave the systematic and scientific foundation of mathematical theory of probability. Swisss mathematician James Bernoulli (1654-1705) was another brave and strong man who made extensive study of the subject for 2 decades and introduced Bernoulli theorem and its theory in his book air conjectandi published in 1713 after his death in major contribution to the modern theory of probability. In 1718 Abrahm de Moivre (1667-1754) published his book The Doctrine of chances and contributed a lot to this subject.
In 18th &19th century many mathematicians tried to develop scientific method for the development of different theorems of probability. Thomas Bayes (1702-1761) introduced the concept of inverse probability which is also known as bayes . Theorem Pierre Simon de Laplace (1749-1827) after an extensive research published his book. Theory of Analytical probability which constitutes the classical theory of probability; Ronald fisher and von mises introduced empirical approach probability through an idea of sample space, In 1926 mathematician frank Ramsey published his work the foundation of mathematics and other logical essays in which he introduced the theory of subjective approach to probability. Which was developed by Richard good Bernard, Coopman and Lleonard sweage. This concept is especially used in statistical decision theory.
The modern theory of probability was developed by a number of Russian mathematicians like Chebychev (1821-1894) A markov (1856-1922) and A .N Kolmogarov. Kolmogarov axionised the theory of probability and he published his work foundations of probability in 1933 in which he introduced probability as set function and regarded as a classic.
Consider three stocks A, B and C costing $100 each. The annual returns on the three stocks have mean $5 and variance $10. a. Suppose that the returns on the three stocks are i.i
Large Sample Test for Proportion A random sample of size n (n > 30) has a sample proportion p of members possessing a certain attribute (success). To test the hypothesis that t
what are the characteristics of research tool?
prove standard deviation of natural natural numbers
Flow Chart for Confidence Interval We can now prepare a flow chart for estimating a confidence interval for μ, the population parameter. Figure
The management at Superior Health Care System Incorporated recently purchased several new facilities including the central patient information management center. This purchase will
Type of Correlation 1. Positive and Negative Correlation: 2. Simple Partial and Multiple Correlations. 3. Linear and Non linear or Correlations
We want to investigate the income data. In the Excel file Midterm Data.xls there is a tab labeled "Income Data 2006". The data in the tab is the income reported by 400 people in
Question: (a) (i) Define the term multicollinearity. (ii) Explain why it is important to guard against multicollinearity. (b) (i) Sometimes we encounter missing values
Differentiate between prediction, projection and forecasting.
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd