statsquiz2

# statsquiz2 - f Y ( y ) = e & y , y > . Hint: if k is...

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Quiz 2 Probability and Statistics Bernardo Guimaraes September 2009 (For questions 1 and 2) (LM) An urn contains four chips numbered 1 through 4. Two chips are drawn without replacement. Let the random variable X denote the larger of the two. Then: 1. The expected value of X is: (a) 2 : 5 (b) 3 (c) 3 : 125 (d) 3 : 25 (e) 3 : 33 2. The standard deviation of X is: (a) 1 = 3 (b) 2 = 3 (c) p 5 = 3 (d) 1 (e) 1 : 11 3. (LM) Suppose that 16 observations are chosen at random from the pdf f Y ( y ) = 3 y 2 , 0 y 1 . Let X denote the number of observations that lie in the interval (0 : 5 ; 1) . E ( X ) is: (a) 8 (b) 10 (c) 11.25 (d) 12 (e) 14 1

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(For questions 4 and 5) (LM) Consider a random variable having the pdf:
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Unformatted text preview: f Y ( y ) = e & y , y > . Hint: if k is a positive integer: Z 1 y k e & y dy = k ! 4. The coe¢ cient of skewness in this case is: (a) -2 (b) -1 (c) 0 (d) 1 (e) 2 5. The coe¢ cient of kurtosis in this case is: (a) -3 (b) 0 (c) 3 (d) 6 (e) 21 6. Consider 2 random variables X and Y . Pr( X = 3) = Pr( X = 5) = Pr( X = 6) = Pr( X = 9) = 1 4 , and Pr( Y = 4) = Pr( Y = 6) = Pr( Y = 7) = Pr( Y = 10) = 1 4 . Then V ar ( X ) & V ar ( Y ) is: (a) -2 (b) -1 (c) 0 (d) 1 (e) 2 2...
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## This note was uploaded on 02/28/2010 for the course ECO 211 taught by Professor Gilo during the Spring '10 term at Young Harris.

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statsquiz2 - f Y ( y ) = e & y , y > . Hint: if k is...

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