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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.
 Spring '08
 Staff
 Probability

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