quiz3 - STA 4321/5325 - Spring 2010 Quiz 3 - February 12...

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Unformatted text preview: STA 4321/5325 - Spring 2010 Quiz 3 - February 12 Name: There are five problems in this quiz. Each problem has exactly one correct answer. Problem 1 Let us recollect that R represents the set of real numbers and S represents the sample space of a random experiment. In mathematical terms, a random variable is a function from (a) R to R (b) S to S (c) R to S (d) S to R Problem 2 Consider a random experiment which consists of choosing a sample of 100 people from a crowd gathered for a musical concert. Let X denote the number of men in the 100 chosen people. Then X is a discrete random variable. This statement is (a) True (b) False Problem 3 Let p(x) denote the probability mass function of a discrete random variable X . The range of possible values that X takes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} (each value is taken with strictly positive probability). It is always true that (a) 9 x=1 p(x) =1 (b) 9 x=1 p(x) <1 (c) 9 x=1 p(x) = 9 10 (d) 9 x=1 p(x) > 7 10 1 Problem 4 Let X be discrete random variable with the following probability mass function. 0 1 4 5 x p(x) 1 5 Then the E (5X + 2) is (a) 7 (b) 1 (c) 3 (d) 6 Problem 5 Let X be discrete random variable with the following probability mass function. x p(x) 0 1 2 1 10 2 5 1 2 If F (x) is the distribution function of X , then F (1) is (a) 1 (b) 1 10 (c) 2 5 (d) 1 2 2 ...
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This note was uploaded on 06/05/2011 for the course STA 4321 taught by Professor Staff during the Spring '08 term at University of Florida.

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quiz3 - STA 4321/5325 - Spring 2010 Quiz 3 - February 12...

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