1. A die is rolled 720 independent times. Compute, approximately, the probability that the number of fives that appear will be between 1 10 and 125 inclusive.
2. A part is produced with a mean of 6.2 ounces and a standard deviation of 0.2 ounce. What is the probability that the weight of 100 such items is between 6 l6 and 624 ounces?
3. Let X., . . . , X 25 be a random sample of size 25 from a distribution having p.d.f. /(x) = x/6 , x = 1, 2, 3, zero elsewhere. Approximate Pr (.,f_ , X; = 50, 51, . . . , or 60).