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- Title: practice questions for Test 2
- Type: Problem Set
- School: SUNY Stony Brook
- Course: AMS 310.01
- Term: Fall
Coursehero >> New York >> SUNY Stony Brook >> AMS 310.01
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
Path: Sonoma >> ECON >> 304 Fall, 2007
Path: Cornell >> ECON >> 3010 Fall, 2007
Path: Cal Poly Pomona >> ME >> 214 Fall, 2006
Path: UBC >> CPSC >> 303 Winter, 2007
Path: UBC >> CPSC >> 303 Winter, 2007
Path: Cal Poly Pomona >> ME >> 214 Fall, 2006
Path: Cal Poly Pomona >> ME >> 214 Fall, 2006
Path: UMKC >> ME >> 275 Spring, 2008
Path: UMKC >> ME >> 275 Spring, 2008
Path: Cornell >> COMM >> 2010 Fall, 2007
Path: Stanford >> CS >> 145 Fall, 2007
Path: Allegheny >> ECON >> 300 Spring, 2008
Path: Allegheny >> ECON >> 300 Spring, 2008
Path: Allegheny >> ECON >> 300 Spring, 2008
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Virginia Tech >> ME >> 2124 Spring, 2008
Path: Cal Poly >> STAT >> 321 Winter, 2008
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: UT Dallas >> ECON >> 2302 Spring, 2006
Path: UT Dallas >> ECON >> 2302 Spring, 2006
Path: UT Dallas >> ECON >> 2302 Spring, 2006
Path: UT Dallas >> ECON >> 2302 Spring, 2006
Path: UT Dallas >> ECON >> 2302 Spring, 2006
Path: Mines >> EBGN >> 312 Fall, 2002
Path: Mines >> EBGN >> 312 Fall, 2002
Path: Wisconsin >> ECON >> 101 Spring, 2007
Path: Carnegie Mellon >> STAT >> 220 Fall, 2005
Path: Mines >> EBGN >> 312 Fall, 2002
Path: UT Dallas >> ECON >> 2302 Spring, 2006
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Pretest 2 Pretest 2 Practice questions for Test 2. [I. Short answer questions. All questions on Quiz 1,2,3 , 4 and 4a. (mainly Quiz 3 , Quiz 4 and QUIZ 4a).] 1. Suppose a discrete variable, D has approximately normal distribution. In order to determine the probability of {D< 101} the normal distribution probability that is used to make the approximation is for X, the normal variable. (a) Pr(X < 100.5) (b) Pr(X < 100) Pr(X< 101) (d) Pr(X< 101.5) 2. Suppose X= the number of pieces of mail processed by a postal clerk per hour. Suppose also that the mean of X, =90.5 and the standard deviation, = 15. Suppose also, that X has approximate normal distribution. Use the normal approximation for discrete variables to determine the probability that less than 101 are processed in a given hour. 3. Given the following joint p.d.f. of X1 and X2 . Are X1 and X2 independent ? X2=1 X2=2 X2=3 X1 =1 0.2 0.1 0.0 X1 =2 0.1 0.2 0.1 X1 =3 0.0 0.1 0.2 4-9 COMMON INFORMATION. Xj~N(2,4) for j=1,2....10 and Yk~N(1,4) for k=1,2...25. The Xj and all pairwise independent. That is, Cov(Xj,XI),Cov(Yk, Yt )=0 for all I,j,k and t; 10 25 10 X=2, Y =1, x= y=4 , nx=10 and ny=25 and let X Xk k 1 Yk . Y k 1 10 25 . Let and let SX 2 = (X j i 1 X )2 . 9 4. P( Y > 3) 5. Mean value of S2y 6. Standard deviation of X = 7. Mean value of X - Y 8. Standard deviation of X - Y II/ Longer problems with several parts. 1. It has been noted that the weight of cereal in boxes has =12.2 oz and =0.2 oz . (a) Use Chebyshev's theorem to obtain a lower bound to the percentage of boxes that weigh between 11.9 oz. and 12.5oz? (b) Assume that the p.d.f. of the weights are normal and determine the percentage of boxes weighing between 11.9 and 12.5 (c) Assume that the p.d.f. for the weights is the normal pdf and determine the value of the 25th percentile of the weights. (d) To what value does the standard deviation of the weights have to be reduced so that only 1% of the boxes exceed 12.5 oz. 2. Suppose we are told that the probability of a defective equals 0.2. (a) Write an expression for the exact probability that in a sample of 100 we observe less than 15% defective. (b) Find the approximate probability that in a sample of n=100 we observe less than 15% defective. (c) For the sample of n=100, find the value of c such that Pr(X c) 0.01. 3. System breakdowns are distributed, according to a Poisson law at an average of 0.5 per hour. (a) What is the probability that the time between system breakdowns is less than 1.5 hours? (b) We do a study to see if this assumption of 0.5 per hour is correct by recording the time between system breakdowns for 100 days. Use the Central limit theorem to determine the approximate probability that the sample mean will be less than 1.5 hour. 4. Suppose that the weight of people getting on the elevator has mean 150 lb and standard deviation equal to 30 lb. and is normally distributed. The elevator contains a sign saying that "No more than 8 people Allowed on this Elevator". (a) Suppose the capacity of the elevator is 1500 lb. and in fact 9 people get on. What is the probability their total weight will exceed the capacity? Hint: P(T>1500) = P(T/9>1500/9)= P( ( X > 166.7). (b) Determine the capacity,C, such that if 9 people get on this elevator then the probability of their total weight exceeding equals 0.001. II-5. Suppose we take a random sample of size n=2 from a box containing a 0's 1's and ' 2 . In this case the number of values in the box is very large. Then the random variable X = number we draw has mean = 1.0 and variance = 0.5. Let X1 denote the value we observe on the first draw and X2 the value we observe on the second draw. (a) Below we give the joint distribution of X1 and X2 (a) What is the distribution of T=(X1+ X2). (b) What is the probability that T=(X1+ X2).> 2.0? (c)What is the variance of T? X1 X2` f(x1,x2) 0 0 1/16 0 1 1/8 1 0 1/8 1 1 1 2 1/8 2 1 1/8 0 2 1/16 2 0 1/16 2 2 1/16 II- 6. You will be asked to either (1) Prove : E(S2) = 2 or to prove that E( X ) = 2
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Description: University of Wisconsin Department of Economics Economics 101: Principles of Microeconomics Korinna K. Hansen Learning Guide 2 Due Date: Week of Monday, February 5th, 2007 Reading Assignment: Case & Fair Chapter 3 up to page 59 and Lecture Materia...
LGuide3Path: Wisconsin >> ECON >> 101 Spring, 2007
Description: University of Wisconsin Department of Economics Economics 101: Principles of Microeconomics Korinna K. Hansen Learning Guide 3 Due Date: Week of Monday, February 12th, 2007 Reading Assignment: Case & Fair Chapter 3 (mostly beyond page 59) and all ...
LGuide4Path: Wisconsin >> ECON >> 101 Spring, 2007
Description: University of Wisconsin Department of Economics Economics 101: Principles of Microeconomics Korinna K. Hansen Learning Guide 4 Due Date: Week of Monday, February 26th, 2007 Reading Assignment: Case & Fair Chapter 6 up to the middle of page 126. Pl...
midterm1reviewtopicsPath: Wisconsin >> ECON >> 101 Spring, 2007
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midterm1 review questionsPath: Wisconsin >> ECON >> 101 Spring, 2007
Description: Review Questions for Midterm 1 Econ 101, Lecture 4, Spring 2007 Professor Korinna K. Hansen TAs: Jonathan Thornhill, Kyoung Jin Choi, Woo Jin Choi and Jim Lin Use the graph below to answer the following question. 1) In the above Figure, which of th...
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Description: Version 1 1) b 2) b 3) a 4) a 5) b 6) b 7) b 8) b 9) a 10) a 11) b 12) d 13) c 14) d 15) a 16) c 17) a 18) d 19) c 20) b 21) b 22) a 23) b 24) d 25) c 26) d 27) b 28) c 29) d 30) b ...
midterm1version1keyPath: Wisconsin >> ECON >> 101 Spring, 2007
Description: Version 1 1) a 2) b 3) a 4) a 5) a 6) b 7) b 8) a 9) b 10) b 11) b 12) c 13) a 14) d 15) c 16) c 17) b 18) c 19) a 20) b 21) a 22) d 23) d 24) a 25) c 26) b 27) d 28) d 29) b 30) d ...
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Description: Econ 101 Principles of Microeconomics Korinna K. Hansen Student Name: Section #: TA Name: First Midterm Examination Spring 2007 Version 1 DO NOT BEGIN WORKING UNTIL THE INSTRUCTOR TELLS YOU TO DO SO. READ THESE INSTRUCTIONS FIRST. You have 50 mi...
midterm2reviewtopicsPath: Wisconsin >> ECON >> 101 Spring, 2007
Description: Review Topics for Midterm 2 Econ 101, Lecture 4, Spring 2007 Professor Korinna K. Hansen Budget constraint Opportunity set Slope of the budget constraint Shifts and rotations of the budget constraint Total utility and marginal utility The law of dim...
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Description: Stat 321 Day 3 Measures of Spread Announcements Lab questions? NHL: $209.78 NFL: $322.82 MLB: $147.72 NBA: $244.48 HW 1 (due Tuesday) questions? Reminder: Office Hour today 1-3 Last Time Measures of Center Mean = average all values ...
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Description: University of Wisconsin Department of Economics Economics 101: Principles of Microeconomics Korinna K. Hansen Learning Guide 11 Due Date: Week of Monday, May 7, 2007 Reading Assignment: Case & Fair Chapter 15 up to page 345. Also, all relevant lectu...
LGuide11Path: Wisconsin >> ECON >> 101 Spring, 2007
Description: University of Wisconsin Department of Economics Economics 101: Principles of Microeconomics Korinna K. Hansen Learning Guide 11 Due Date: Week of Monday, April 30, 2007 Reading Assignment: Case & Fair Chapter 14 pp. 310- end, and all relevant lectur...
LGuide9Path: Wisconsin >> ECON >> 101 Spring, 2007
Description: University of Wisconsin Department of Economics Economics 101: Principles of Microeconomics Korinna K. Hansen Learning Guide 9 Due Date: Week of Monday, April 16, 2007 Reading Assignment: Case & Fair Chapter 13 up to page 287. Problem Assignment: P...
LGuide7Path: Wisconsin >> ECON >> 101 Spring, 2007
Description: University of Wisconsin Department of Economics Economics 101: Principles of Microeconomics Korinna K. Hansen Learning Guide 7 Due Date: Week of Monday, March 19, 2007 Reading Assignment: Case 9 (not the appendix). Problem Assign...
LGuide5Path: Wisconsin >> ECON >> 101 Spring, 2007
Description: University of Wisconsin Department of Economics Economics 101: Principles of Microeconomics Korinna K. Hansen Learning Guide 5 Due Date: Week of Monday, March 5, 2007 Reading Assignment: Case & Fair Chapter 6 (the whole chapter including the appendi...
sol_practice_midterm1_eco2302Path: UT Dallas >> ECON >> 2302 Spring, 2006
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Description: Tentative 01/09/2006 Economics 2302 Spring 2006 Principles of Microeconomics University of Texas at Dallas Professor: Isaac McFarlin Office: Green Hall, Rm. GR3.816 Phone: (972) 883-4761 E-mail: imcfarlin@utdallas.edu (Not via WebCT) Course websit...
s06_prac_final_&_sol_eco2302Path: UT Dallas >> ECON >> 2302 Spring, 2006
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s06_prac_exam2_eco2302Path: UT Dallas >> ECON >> 2302 Spring, 2006
Description: Economics 2302 Principles of Microeconomics Professor Isaac McFarlin Practice Examination 2 University of Texas at Dallas Student Name (print) _ Student ID: xxx xx - _ Student Signature (required) __ INSTRUCTIONS: The exam is closed book. You may...
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Description: Economics 2302 Professor McFarlin Problem Set 1 Principles of Microeconomics University of Texas at Dallas [Note: Problem sets in this class will not be collected or graded.] Economics is a quantitative social science. If you take a moment and scan...
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Description: Chapter 8: Aggregate Expenditure and Equilibrium Output True or False 1. Consumption is a highly volatile component of aggregate expenditure. TRUE FALSE 2. The marginal propensity to consume is the slope of the aggregate expenditure function (C +...
Chapter 9 hw4Path: Mines >> EBGN >> 312 Fall, 2002
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Description: Economics 2302 Professor McFarlin Solution to problem Set 4 Principles of Microeconomics University of Texas at Dallas 1. Here\'s a table with all the info: L 0 1 2 3 4 5 6 7 8 Q 0 30 70 100 120 130 135 140 140 MPL 30 40 30 20 10 5 5 0 APL 30 35 33...