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- Title: Practice quiz2 and soln
- Type: Solutions
- 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: 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
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Path: Cal Poly Pomona >> ME >> 214 Fall, 2006
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Path: UBC >> CPSC >> 303 Winter, 2007
Path: Cal Poly Pomona >> ME >> 214 Fall, 2006
Path: Cal Poly Pomona >> ME >> 214 Fall, 2006
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Path: UMKC >> ME >> 275 Spring, 2008
Path: Cornell >> COMM >> 2010 Fall, 2007
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Path: Allegheny >> ECON >> 300 Spring, 2008
Path: Allegheny >> ECON >> 300 Spring, 2008
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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
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Path: Wisconsin >> ECON >> 101 Spring, 2007
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Path: Wisconsin >> ECON >> 101 Spring, 2007
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Path: Wisconsin >> ECON >> 101 Spring, 2007
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Path: UT Dallas >> ECON >> 2302 Spring, 2006
Path: UT Dallas >> ECON >> 2302 Spring, 2006
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PREQUIZ AMS310.01 2 Practice questions for quiz 2. _____ 1. P(A B)= 0.2 P(A)=0.5 P(B)= 0.6, P(B|A)= _______2. P(B|A) =0.5 P(A)=0.6 P(B)=0.8 P(A B)= ______ _______ 3. Given S= {1,2,3,4,5,6} the outcomes of the toss of 1 die. Let A={we get less than 5 dots} and let B={we get an even number of dots}. Which statement below is correct? (a) A and B independent events. A and B are mutually exclusive events. (b) A and B are dependent events. A and B are mutually exclusive event. (c) A and B are independent. A and B are not mutually exclusive. (d) A and B are dependent events. A and B are not mutually exclusive. ____4. Given the values below for F(x), the distribution function of X for all values of X for which f(x)=Pr(X=x)>0.0. Find Pr(X 2.5 ). Hint: F(x) = Pr({X x}). x 0 0.5 1.0 1.5 2.0 2.5 3.0 F(x) 0.1 0.2 0.3 0.5 0.9 0.95 1.0 SOLUTIONS : 1. 2/5=0.4 1. P(A B)= 0.2 P(A)=0.5 P(B)= 0.6, P(B|A)= SOLUTION: P(B|A) = P(A B)/P(A) = 0.2/0.5 = 0.4 2. 0.30___ 2. P(B|A) =0.5 P(A)=0.6 P(B)=0.8 P(A B)= ______ SOLUTION: P(A B)= P(A|B) xP(B) = P(B|A) x P(A). Since we are given P(B|A) =0.5 and not given P(A|B) we calculate P(A B) = P(B|A)P(A) = 0.5 x 0.6 = 0.30. 3. C ____ 3. Given S= {1,2,3,4,5,6} the outcomes of the toss of 1 die. Let A={we get less than 5 dots} and B={we let get an even number of dots}. Which statement below is correct? (a) A and B independent events. A and B are mutually exclusive events. (b) A and B are dependent events. A and B are mutually exclusive event. (c) A and B are independent. A and B are not mutually exclusive. (d) A and B are dependent events. A and B are not mutually exclusive. SOLUTION: A={1,2,3,4}; so P(A)=4/6=2/3. B= {2,4,6}} , so P(B)=3/6=1/2. A B = {2,4}, so P(A B )=1/3 >0 and A and B ARE NOT MUTUALLY EXCLUSIVE. For independence of A and B note : P(A|B)=P(A B)/P(B)= (1/3)/(1/2)=2/3. So 2/3=P(A|B) = P(A) and thus A,B ARE INDEPENDENT (OR note (1) P(A)P(B) = (2/3) (1/2) =1/3= P(A B); (2) P(A)P(B)=1/3=P(A B); thus A, B are independent.. 0.1___4. Given the values below for F(x), the distribution function of X for all values of X for which Pr(X=x)>0.0. Find Pr(X 2.5 ). Hint: F(x) = Pr({X x}). x 0 0.5 1.0 1.5 2.0 2.5 3.0 F(x) 0.1 0.2 0.3 0.5 0.9 0.95 1.0 Solution : P({X 2.5}) = 1- P({X<2.5} ) = 1- P({X 2.0}) = 1- F(2.0) = 1- 0.9 = 0.1 OR: From Table for F(x) calculate f(x) as P(X=x) =f(x) = P(X x) P(X<x) = F(x) F(x-) x 0 0.5 1.0 1.5 2.0 2.5 3.0 F(x) 0.1 0.2 0.3 0.5 0.9 0.95 1.0 f(x) 0.1 0.1 0.1 0.2 0.4 0.05 0.05 Then P(X 2.5 ) = f(2.5) + f(3.0) = 0.05 +0.05 =0.1.
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Path: SUNY Stony Brook >> AMS >> 310.01 Fall, 2003
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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...
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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...
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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, April 30, 2007 Reading Assignment: Case & Fair Chapter 14 pp. 310- end, and all relevant lectur...
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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...
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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...
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