Consider the set of points in the set C: C={(x, y)|x, y∈ℤ,x2+|y|≤2}. Suppose that we pick a point (X, Y) from this set completely at random. Thus, each point has a probability of 111 of being chosen. Find the joint and marginal PMFs of X and Y. Find the conditional PMF of X given Y=1. Are X and Y independent? Find E[XY2].

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.

Nine people are going to share a 128-ounces bottle of soda. how many ounces will each person get drink? choose the correct equation and answer for this situation

Solve one step and two step problems