midterm1_fall_2008_solution (2)

midterm1_fall_2008_solution (2) - 1 ECI 114 2008 Name...

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ECI 114 Fall 2008 Name Solution Midterm 1 (100 points) Monday, October 20, 2008 Show your work. It’s not necessary to give a final numerical answer unless specifically asked, but you need to provide all the information necessary to compute the final answer. Please circle or otherwise highlight your an- swer. Turn in your “crib sheet” with your exam. Put your name on the back of the last page. GOOD LUCK! 1. For each of the following statements, circle the letter “T” if it is true, and “F” if it is false. (3 * 8 =24 pts) T F a. Among measures of central tendency, the median and mode are actual data values in the data set. Answer: If the number of observations is even, the median is halfway between the two central values. So in that case the median would not be an actual value in the data set. T F b. If A and B form a partition and B and C are collectively exhaustive, then A C=A. Answer : Ah B=S and A B= φ ; Bh C=S. It’s easy to find A C , so A C=A. T F c. If a true-false exam contains 10 questions, there are 20 different possible sets of answers. Answer: For each question, there are 2 ways to answer; so for the 10 questions, there are 2 10 ways to answer all the questions. T F d. Pr[A]= ] , , | Pr[ * ] , | Pr[ * ] | Pr[ ] Pr[ C B A D C A B A C D C B A . Answer: Using the chain rule, we get: A B C 1
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] , , | Pr[ * ] , | Pr[ * ] | Pr[ * ] Pr[ ] Pr[ C B A D C A B A C A D C B A = T F e. 0! = 0. Answer: 0! = 1. T F f. For any set of N objects, taking n at a time, the number of combinations is never less than the number of permutations. Answer: ! n P n N n N = . Since n! 1, n N n N P ! n P n N = . T
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This note was uploaded on 04/07/2010 for the course ECI 114 taught by Professor Mocktarian during the Winter '08 term at UC Davis.

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midterm1_fall_2008_solution (2) - 1 ECI 114 2008 Name...

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