Exam Information
Material Type:  Exam 1 
Professor:  Staff 
Class:  ECON 321  ECON STAT 
Subject:  Economics 
University:  University of Maryland 
Term:  Spring 1990 
Keywords:   Probability Distribution
 The Independent
 Distribution
 Random Variable
 Binomial Random Variable
 Observations
 Simple Random
 Random Sample
 Following Statement
 No Correlation

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Sample Document Text
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J
ECON A21 2nd hourly (25 po 1 nts) SP(2.lN G c/o
1. (4 points) Let X be a binomial random variable with n  15,
P  .60
A) Find peX . 8)
B) Find peX ) 12)
2. (2 points) Let X be a binomial random variable with n  30
p .. 3.
Find pe15 < X < 25)
3. (4 points) Consider the following probability distribution
X P(X ~)
2 . ~,
4 ;6
For a simple random sample of size 2 (X" )(2) drawn from
this probability distribution, find .
x, P(X), E(X), VeX)
4. (4 po~nts) Let X be a normal random variable with II .. 10
and a = 225,
5.
a) Find P(X < 8)
b) Find P(X > 13)
c) Find k such that P(X < k) Q .90
d) Find k such that P(X > k) = ;90
(7 points) Consider two estimators of the population
parameter II
111
1 12
Xl
+ 1/2 X
2
112
1 15
Xl
+ 4/5 X
2
where Xl and X
2
are the sample means from two independent
random samples of size 100 and 400, respectively, drawn from the
probability distributj20n of the random variable X, which has
mean II and variab...
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