Help with both questions

rQuestion 3: Consider a discrete Fiendom variable. X. such that the values X can take on are: 'l, D. 1. Consider a discrete Random variable, P, such that the values Y can take on are: U. 1. The joint probability ofX. l" is given as: i ;x=-1,y=1 P(x,y)= % ;x={l,y= i 4 ;x= l.y=l a. Are there any such pair-wise elements of X and F that are mutually exclusive {disjoint}? Circle only one [1 mark] Yes No Neither. not enough information I). What is the standard deviation of 1'. SELF]? Or if there is not enough Infom'lation given record we or DNE. [1 mark] Answer (3. What Is the ooverainoe of X and 1'. Cov[X. 1']? Or it there is not enough information given record NM. or DNE. [1 mark] Answer d. Are X and 1' dependent? Circle onlyr one [1 mark] Yes No Neither, not enough information Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $8$11 Product AA 0 -6 45 6 1E+30 $B$12 Product BA 70 0 55 1E+30 5 $B$13 Product CA 30 0 50 5 15 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $E$4 Constraint 1 USED 100 55 100 10 6 $E$5 Constraint 2 USED 270 0 300 1E+30 30 $E$6 Constraint 3 USED 270 0 250 20 1E+30 $E$7 Constraint 4 USED 60 2.5 60 40 60 What will happen if unit profit of "Product B" decreases by 20? O A. The optimal solution will change O B. The optimal solution will remain unchanged C. Profits can be computed without re-running the model D. Constraints values will change