Rank of matrix
In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns. This is the same as the dimension of the space spanned by its rows. It is a measure of the "non degenerateness" of the system of linear equations and linear transformation encoded by A. There are multiple equivalent definitions of rank.
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Explain the method of maximum likelihood for estimating the value of a population parameter.
From the following data, obtain the two regression equations Y on X and X on Y.
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?
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.
From the following data, obtain the two regression equations Y on X and X on Y.
a)
b) Explain the method of maximum likelihood for estimating the value of a population parameter.
Write a linear first-order differential equation and work out its general solution.