m2-09

# m2-09 - STOR 435 Exam 2 Fall 2009 (1) Check true or false....

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STOR 435 Exam 2 Fall 2009 (1) Check “true” or “false”. (1.1) If X Exponential ( λ ), Y Exponential ( μ ), and P ( X 1) < P ( Y 1), then λ < μ . (1.2) If X Geometric ( p 1 ), Y Geometric ( p 2 ), and P ( X > 1) > P ( Y > 1), then p 1 > p 2 . (1.3) If X Uniform ( - 1 , 1), Y Uniform ( - c,c ), and V arY = 2 V arX , then c = 2. (1.4) If X and Y are iid with X Poisson (1), then 2 X + Y Poisson (3). (1.5) If X and Y are iid with X Poisson (1), then V ar (2 X - Y ) = 5. (1.6) Let X and Y denote the total numbers of heads and tails among 5 tosses of a coin ( p ) with p < 1 / 2, then P ( X > 2) > P ( Y > 2). (1.7) If the indicators I A , I B satisfy P ( I A > I B ) = 1 / 2, and A , B are mutually exclusive, then P ( A ) = 1 / 2. (1.8) Let X and Y denote the total numbers of heads and tails among 4 tosses of a fair coin, then P ( X - Y = 1) = 0. Note: Show your work in each of the following problems.

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## This note was uploaded on 11/17/2011 for the course STOR 435 taught by Professor Staff during the Fall '08 term at UNC.

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m2-09 - STOR 435 Exam 2 Fall 2009 (1) Check true or false....

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