Statistical definition of probability, Applied Statistics

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Statistical Definition of probability:

Ques: (a) (i)  Distinguish Statistical Definition of probability from the Classical Definition.

                 (ii) State the Additive Law of Probability and the Multiplicative Law of Probability for any two events. 

          (b) A bag contains 3 black, 6 white and 7 red balls. What is the probability that if two balls are drawn at random one will be white and other will be red.

Ques: (a) State Baye's Theorem

          (b) Two bags A and B contain respectively 1 white and 5 red balls, 2 white and 1 red balls. One ball is transferred from bag A to bag B and then one ball is drawn from the latter. It happens to be white. What is the probability that the transferred ball was red ?

Ques: (a) (i)  Define binomial distribution and its parameters.

               (ii) Define Poisson distribution and its parameters.

                (b)  Write a short note on Normal Distribution and its importance in Statistics.


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