Three balls are randomly chosen from an urn containing 3 white, 3 red, and 5 black balls. suppose that we win $1 for each white ball selected, and lose $1 for each red ball selected. if x denotes our total winnings from the experiment, then: a) what values can x take? b) what is the pmf of x? c) show that this is a valid pmf.

Efficient homemakers ltd. makes canvas wallets and leather wallets as part of a money-making project. for the canvas wallets, they need two yards of canvas and two yards of leather. for the leather wallets, they need four yards of leather and three yards of canvas. their production unit has purchased 44 yards of leather and 40 yards of canvas. let x be the number of leather wallets and y be the number of canvas wallets. draw the graph showing the feasible region to represent the number of the leather and canvas wallets that can be produced.