7. Suppose a reputed psychic in an extrasensory perception (ESP) experiment has called heads or tails correctly on ten successive tosses of a coin. What is the probability that guessing would have yielded this perfect score? 8. A videocassette recorder (VCR) manufacturer receives 70% of his parts from factory F1 and the rest from factory F2. Suppose that 3% of the output from F1 is defective, while only 2% of the output from F2 is defective. What is the probability a received part is defective? 9. A manager notes that there is a 0.125 probability that any employee will arrive late for work. What is the probability that exactly one person in a six-person department will arrive late?
10. A manufacturer has the following quality control check at the end of a production line: If at least eight of ten randomly picked articles meet all specifications, the whole shipment is approved. If, in reality, 85% of a particular shipment meets all specifications, what is the probability that the shipment will make it through the control check? 11. Using number 10 above, what is the probability that a shipment in which only 70% of the articles meet specifications will make it through the control check? 12. Joe DiMaggio had a career batting average of .325. What is the probability that he would get at least one hit in five official times at bat? 13. A grocery store manager notes that 35% of customers who buy a particular product make use of a store coupon to receive a discount. If seven people purchase the product, what is the probability that fewer than four will use a coupon? 14. Concessionaires know that attendance at a football stadium will be 60,000 on a clear day, 45,000 if there is light snow, and 15,000 if there is heavy snow. Furthermore, the probability of clear skies, light snow, or heavy snow on any particular day is ½, 1/3, and 1/6., respectively. What average attendance should be expected for the season? 15. In a lottery, 10,000 tickets are sold at $1 each with a prize of $7500 for one winner. What is the average result for eachbettor? 16. A manager must choose among three options. Option A has a 10% chance of resulting in a $250,000 gain but otherwise will result in a $10,000 loss. Option B has a 50% chance of gaining $40,000 and 50% chance of losing $2000. Finally, option C has a 5% chance of gaining $800,000 but otherwise will result in a loss of $20,000. Which option should the manager choose?
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- Summer '16