The joint F. D.P of a bivariate VA (X, Y) is given per:

a) Find the value of K.
b) Find the marginal F. D.Ps of X and Y
c) X and Y are independent?

Use the matrix-column representation of the product to write each column of ab as a linear combination of the columns of a.

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.

What’s the volume of the triangular prism?