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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.
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 ...
Identify the (time, censor) pair for each of the following analyses:
advantage and disadvantage
entropy test to measure interaction between enviornmental factors and genes
Let X 1 and X 2 be two independent populations with population means μ 1 and μ 2 respectively. Two samples are taken, one from each population, of sizes n 1 and n 2 re
TYPE I AND II Errors If a statistical hypothesis is tested, we may get the following four possible cases: The null hypothesis is true and it is accepted; The
give me question on mean is the aimplest average to understand and easy to compute
Properties of correlation
Prediction Inte rval We would like to construct a prediction interval around which would contain the actual Y. If n ≥ 30, ± Zs e would be the interval, where Z
Correlation Analysis Correlation Analysis is performed to measure the degree of association between two variables. The measure is called coefficient of correlation. The coeffic
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