1. If 3 noxious weeds are found in a 0.25-oz random sample of grass seed, use the Poisson probability distribution to find an 80% confidence interval for the expected number of weeds per 0.25 oz of seed. (Note that using the Poisson model here avoids the necessity of counting all the seeds, a tedious task.) Compare the intervals obtained.
2. If 8 defects are found in a production process during a random 5-minute interval, find with 90% of confidence the largest mean number of defects that could be expected to occur in a 5-minute period. Compare the intervals obtained.