State the properties of point estimators.
It is desirable for a point estimate to be: (1) Consistent. The larger the sample size, the more accurate the estimate. (2) Unbiased. The expectation of the observed values of many
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The input coefficient matrix P for an economy is given by 
final demand vector 
Find the output levels.
State the Central Limit Theorem
A bag contains 8 blue balls and 5 black balls. 2 successive draws of 3 balls are made
without replacement. Find the probability that the first drawing will give 3 black balls
and the second 3 blue balls.
What is sampling distribution?
a) Write short notes on the following:
i) Rank of matrix
ii) Eigen value and Eigen vector
How will you solve Harrod-Domar formulation of steady growth through differential equations?
Give examples of the problems where you can use:
a) Poisson distribution. Does it have probability density function? Why or why not?
Discuss your answer in the context of mean and variance of the Poisson distribution.
b) In a sequence of 4 trials with probability of success p = 1/3 there will be exactly two successes?