Spring 2006 Midterm

Spring 2006 Midterm - Math 218, Spring 2006, MWF 11am...

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Math 218, Spring 2006, MWF 11am Probability for Business Test I - Solutions Instructions: Try all the problems and show all your work . Answers given with little or no indication of how they were obtained may receive no credit. Leave all numerical answers as a reduced fraction or in decimal form. You may use a calculator and the one sheet of 8 1 2 × 11 that you brought with you. This sheet must be written in your own handwriting . Good luck! 1. During the winter in a small town in the Midwest it snows on 20% of the days and there is a car accident on 10% of the days. Moreover, on 40% of the days that it snows there is a car accident. a) On what proportion of the days is it the case that it both snows and there is a car accident? b) On what proportion of those days that there is a car accident does it snow? c) Are the events { car accident } and { snows } independent? Explain. 2. You go to your local cafe to have an omelette for breakfast. a) The chef reaches into the fridge and pulls out 3 eggs from a carton that contains a dozen eggs to make your omelette. Unknown to him, two of the eggs in the carton have gone bad. What is the probability that he doesn’t get either of those two eggs? b) In your omelette you may have up to four of the following: zucchini, mushrooms, olives, artichoke hearts, green onions, spinach and feta cheese. How many dif- ferent omelettes are possible? c) Along with your omelette you may have any or all of the following: a muffin, roasted potatoes, a sausage, and an orange. How many different breakfasts could you have? 3. A passenger traveling from Bombay to Los Angeles changes planes in Ankara, Rome and New York. Each piece of luggage has a 5% chance of being misdirected in Ankara, a 4% chance of being misdirected in Rome, and a 6% chance of being misdirected in New York. a) If the passenger has only one piece of checked luggage, what is the probability
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This note was uploaded on 05/30/2010 for the course MATH 218 taught by Professor Haskell during the Spring '06 term at USC.

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Spring 2006 Midterm - Math 218, Spring 2006, MWF 11am...

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