Lemons are packed in boxes, each box containing 200. It is found that, on average, 0.45% of the lemons are bad when the boxes are opened. Use the Poisson distribution to find the probabilities of 0, 1, 2, and more than two bad. lemons in a box. A buyer who is considering buying a consignment of several hundred boxes checks the quality of the consignment by having a box opened. If the box opened contains no bad lemons he buys the consignment. If it contains more than two bad lemons he refuses to buy, and if it contains one or two bad lemons he has another box opened and buys the consignment if the second box contains fewer than two bad lemons. What is the probability that he buys the consignment? Another buyer checks consignments on a different basis. He has one box opened; if that box contains more than one bad lemon he asks for another to be opened and does not buy if the second also contains more than one bad lemon. What is the probability that he refuses to buy the consignment?