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Final_exa9m_ - Summer Session II Math 111 Sec 0202 E.G.K Lopez—Escobar NAME PROLOGUE Please read the following instructions Answers without

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Unformatted text preview: Summer Session II, Math 111, Sec. 0202. 08/22/03 E.G.K. Lopez—Escobar . NAME ......................................... .. PROLOGUE Please read the following instructions: Answers without supporting evidence carry little weight. Calculations without a definite answer to the problem carry little weight. Nothing is to be written on the section of the page reserved for the statement of the problem. The answer(s) to the problem is(are) to be given (in the form of ab— breviated English sentences) in the section of the page reserved for the answers. Calculations, or justifications, for your answer(s) should not be on the same side of the page as the statement of the problem. The calculations (justifications) should be written starting on the back side of the page on which the problem is stated. Although the calculations (or justifications) need not be written as complete sentences of English, nevertheless it should be obvious to the reader What you are calculating (justifying). Beware that blatantly false or nonsensical statements will significantly lower your grade. The student is expected to check the given answer(s) and calculations. It is recommended that the student read all the problems in the exam— ination before attempting to find the solutions. It is not required that Problem 1 should be the first problem attempted. Failure to follow the above instructions may lower your grade. After reading the instructions initial the following statement: I have read the above instructions . . . . . . . . . . . . . .. Problem 1 A woman purchased a $50,000, 1-yr term life insurance policy for $500. Assuming that the probability that she will live another year is 0.9935, find the company’s expected gain. Answer: ________ ___W.m____.%_f__ Problem 2 The probability that an airplane engine will fail in a certain route is 0002. Assuming that engine failures are independent of each other, what is the probability that a four engine plane will experience exactly two engine failures on that route? W. Answer: Problem 3 By how many tickets should a 400 passenger flight be over-booked if 5% of the ticketed passengers are usually 7’no-shovvs” and a person should have a 98% probability of being seated in the flight? W Answer: ____________ _~_..r.~..i____-____.._7____________________.__f___.mw Problem 4 The scores in an examination are normally distributed with a mean of 75 and a standard deviation of 15. If 5% of the class is to be assigned an ”A”, what is the lowest score a student may have and still obtain an “A”? W Answer: ______________ _____T_._.M________T~.~_ Problem 5 In a manufacturing plant, four machines, a, fl, 7 and 6, produce 20%, 25%, 30% and 25%, respectively, of the total production. The production of machine a is 1% defective, for machine fl it is 1.5%, for machine 7 it is 1.75% and for machine 6 it is 2%. If an item is selected at random and found to be defective, What is the probability that it was produced by machine 7? W Answer: _______ _________________,_.T_______________________._______ ...
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This note was uploaded on 09/21/2009 for the course MATH 113 taught by Professor Staff during the Spring '08 term at Maryland.

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Final_exa9m_ - Summer Session II Math 111 Sec 0202 E.G.K Lopez—Escobar NAME PROLOGUE Please read the following instructions Answers without

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