1. 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?
2. 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?
3. Gary Schwartz is the top salesman for his company. Records indicate that he makes a sale on 70% of his sales calls.
a. If he calls on 6 potential clients, what is the probability he makes exactly 4 sales?
b. What is the probability he make fewer than 3 sales?