How will you solve Harrod-Domar formulation of steady growth through differential
equations?
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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.
From the following data, obtain the two regression equations Y on X and X on Y.
| X | 2 | 4 | 6 | 8 | 10 |
| Y | 5 | 7 | 9 | 8 | 11 |
State the Central Limit Theorem.
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 =1/2 what is the probability that
there will be exactly two successes?
The input coefficient matrix P for an economy is given by 
final demand vector 
Find the output levels.
Write a linear first-order differential equation and work out its general solution.
Eigen value and Eigen vector