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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.
1. Assume the random vector (Trunk Space, Length, Turning diameter) of Japanese car is normally distributed and the unbiased estimators for its mean and variance are the truth. For
Bernoulli's Theorem If a trial of an experiment can result in success with probability p and failure with probability q (i.e.1-p) the probability of exactly r success in n tri
Evaluate Gross Reproduction Rate: From the data given below compute : i) General Fertility Rate ii) Specific Fertility Rate iii) Total Fertility Rate iv)
Examine the given statement, then express the null hypothesis H0 and the alternative hypothesis H1 in symbolic form. The mean weight of women who won a beauty pageant is equal t
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what are the importance, uses,optimums and applications of the following in agriculture field experiments; 1.standard deviation 2.standard error 3. coefficient of variation
f(x,y)=c(6-x-y) ,o find P(X+Y
A new weight-watching company, Weight Reducers International, advertises that those who join will lose, on the average, 10 pounds the first two weeks with a standard deviation of 2
Examples of grouped, simple and frequency distribution data
Advantages It is especially useful in case of open-end classes since only the position and not the values of items must be known. The median is also recommended if th
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