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Answers_to_final_sample_questions_09

Answers_to_final_sample_questions_09 - PAM 2100 INSTRUCTOR...

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PAM 2100 INSTRUCTOR: SALAM ABDUS SAMPLE FINAL QUESTIONS In total, there will be 10 problems and 15 multiple choice questions in the final. Out of the 10 problems, at least 6 problems will be from the material covered after the second prelim, and at most 4 problems will be from the material covered in the first and the second prelim. The 10 problems will be worth 70 points and the 15 multiple choice questions will be worth 30 points. In what follows, I have given some sample problems and sample multiple choice questions from the materials covered after the second prelim. In addition to these problems, you should also look at problem sets #6 to #8, and the problems we have solved during the lectures. For sample problems and sample multiple choice questions from the materials covered in the first and second prelim, look at the previous problem sets, multiple choice questions which we solved in class, and the answer keys to the two prelims. Problem 1 Jen and Elise are playing in the club bowling tournament. Their scores vary as they play repeatedly. Jen’s score X has the N(200, 10) distribution, and Elise’s score Y has the N(196, 7) distribution. Their scores are independent. a) What is the mean of (X-Y)? What is the standard deviation of (X-Y)? Round your answers to four decimal places if necessary. 4 196 200 = - = - = - Y X Y X μ μ μ 2066 . 12 ) 7 ( ) 10 ( 2 2 2 2 2 = + = + = = - - Y X Y X Y X σ σ σ σ b) What is the probability that Jen will score at least one point higher than Elise? Use your final answers from part a. Round your z score to two decimal places and then use Table A. Round your final answer to four decimal places if necessary. We need to look at the distribution of X-Y. We need to find out the probability that the value of this random variable is greater than or equal to one. We know the mean and the standard deviation of this random variable from (a).

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Answers_to_final_sample_questions_09 - PAM 2100 INSTRUCTOR...

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