2. As a rural grocery store receives eggs from the neighboring farmers it "candles" the eggs to detect any eggs that are not fresh. Eight crates of eggs, 144 eggs per crate, were candled with the following numbers of eggs rejected from each crate: 4, 0, 2, 0, 2, 0, 2, 0. Present a 95% confidence band, either graphically or in tabled form, for the distribution function of the number of rejected eggs for the population of all crates received.