Holdtight a leading manufacturer of quality nails, produces 1-, 2-, 3-, 4-, and 5-inch nails for all kinds of applications. In the production process, if there is an overrun or the nails are slightly defective, they are placed in a common bin. Yesterday, 736 of the 1-inch nails, 223 of the 2-inch nails, 89 of the 3-inch nails, 455 of the 4-inch nails, and 377 of the 5-inch nails were placed in the bin. a. What is the probability of reaching into the bin and getting a 5-inch nail? b. What is the probability of getting a 3-inch nail? c. If a particular application requires a nail that is 3 inches or longer, what is the probability of getting a nail that will satisfy the requirements of the application? 1-4 The oasis outpost of Abu Ilan, in the heart of the Neveg dessert, has population of 24 Bedouin tribesmen and 16 Farima tribesman. El Kamin, a nearby oasis, has a population of 8 Bedouin s and 36 Farima. A lost Israeli soldier, accidently separated from his Army unit, is wandering through the desert and arrives at the edge of one of the oases. The soldier has no idea which oasis he has found, but the first person he spots at distance is a Bedouin. a. What is the probability that he wandered into Abu Ilan? b. What is the probability he is in El Kamin? 1-5 In a sample of 1,000 representing a survey from the entire population, 600 people were from Laketown and the rest were from River City. Of the sample, 19 had some form of cancer. Twelve of those were from Laketown. a. Are the events of living in Laketown and having cancer of some sort of cancer independent? b. Which city would you prefer to live in, assuming that your main objective was to avoid having cancer? 1-6 Gary Schwartz is the top salesman for his company. Records indicate that he makes a sale on 70% of his sales calls.