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.