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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.
Accelerated Failure Time Model A basic model for the data comprising of survival times, in which the explanatory variables measured on an individual are supposed to act multipli
Melissa Bakery is preparing for the coming thanksgiving festival. The bakery plans to bake and sell its favourite cookies; butter cookies, chocolate cookies and almond cookies. A k
Admixture in human populations The inter-breeding amongst the two or more populations which were previously isolated from each other for the geographical or the cultural reason
The box plot displays the diversity of data for the age; the data ranges from 19 being the minimum value and 60 being the maximum value. The box plot is positively skewed at 0.57 a
Sampling A Population is a collection of all the data points being studied. For example, if we are studying the annual incomes of all the people in India, then the population
Let X, Y, and Z refer to the three random variables. It is known that Var(X) = 4, Var(Y) = 9, and Var(Z) = 16. It is further known that E(X) = 1, E(Y) = 2, and E(Z) = 4. Furthermor
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
Convenience Sampling It means a convenient sample is obtained by selecting convents units from the universe. Convenient sample is also known as chunk. It means a fraction of
Replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years. Find the replacement time that separates the top 20% from the
12 shoppings in nairobi 38/week
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