1. Consider Y [Yl Y2 Y3] having N3 where

u 2
4 and E 9 0 2
1 0 4 0
2 0 6

Write a program in language to find the marginal distribution of yl, y2 and Y3. Also, extend this program to find the conditional distribution of yl, given y2 and y3.

2. Write a program in language that checks whether a quadratic form in three variables is positive definite or not. It should do the following:

Read the coefficients of the quadratic form.

Print the matrix corresponding to the quadratic form.

Check whether the quadratic form is positive definite or not and print the result.