We toss two fair dice with six faces numbered from 1 to 6 and we denote X the v. a. which represents the sum of the two figures obtained and Y the v. a. which is equal to the maximum of these two numbers. (a) Determine the joint pmf of X and Y .
(b) Determine the marginal pmf of X and the marginal pmf of Y . Are X and Y
independent?
(c) Find Cov(X, Y ) and ρX, Y .
(d) Find the conditional pmf of Y given that X = 6 and find E(Y |X = 6).

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

answer: 8

step-by-step explanation:

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu