If
is the sample mean, prove that the expected value of
equals the populationmean (μ).
Suppose a random sample of size 
is drown from a given finite population of size 
. Let 
be the value of the variable x for the a member of the population. Then the population mean of x is 
and the population variance is 
. Again, let us denote by 
the value of x for the
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From the following data, obtain the two regression equations Y on X and X on Y.
Suppose the technology matrix is
Let the final demand sector be
Find the level of production of the three goods
Write a linear first – order differential equation and work out its general solution.
A monopolist’s demand curve is given by P = 100 – 2q.
At what price is marginal revenue zero?
(a) Solve the following problem graphically:Min
Sub to
Why does the solution occur at a corner point only? Give reasons
What is a Poisson distribution? Find the mean and variance of a Poisson distribution.