Consider 3 trials, each having the same proba- bility of success. let x denote the total num- ber of successes in these trials. if e[x] = 1.8, what is (a) the largest possible value of p{x = 3}? (b) the smallest possible value of p{x = 3}? in both cases, construct a probability scenario that results in p{x = 3} having the stated value. hint: for part (b), you might start by letting u be a uniform random variable on (0, 1) and then defin- ing the trials in terms of the value of u.

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.