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Chapter 9
Random
Variables
Active Learning Lecture Slides
For use with Classroom Response Systems
Copyright © 2014, 2011 Pearson Education, Inc.
1
The uncertain numerical outcome of a
random process is called a…
A. future variable.
B. predictor variable.
C. random variable.
D. probability variable.
Copyright © 2014, 2011 Pearson Education, Inc.
2
The uncertain numerical outcome of a
random process is called a…
A. future variable.
B. predictor variable.
C. random variable.
D. probability variable.
Copyright © 2014, 2011 Pearson Education, Inc.
3
If one can list all possible outcomes of a
random variable then it is called…
A. a continuous random variable.
B. a discrete random variable.
C. a fixed random variable.
D. both A. and B. above.
Copyright © 2014, 2011 Pearson Education, Inc.
4
If one can list all possible outcomes of a
random variable then it is called…
A. a continuous random variable.
B. a discrete random variable.
C. a fixed random variable.
D. both A. and B. above.
Copyright © 2014, 2011 Pearson Education, Inc.
5
The mean µ of a random variable is…
A. the average of the possible outcomes.
B. a weighted average of the possible
outcomes.
C. the sum of the possible outcomes.
D. always equal to 1.
Copyright © 2014, 2011 Pearson Education, Inc.
6
The mean µ of a random variable is…
A. the average of the possible outcomes.
B. a weighted average of the possible
outcomes.
C. the sum of the possible outcomes.
D. always equal to 1.
Copyright © 2014, 2011 Pearson Education, Inc.
7
A weighted average that uses the
probabilities to weight the possible
outcomes is called the…
A. expected value.
B. mean value.
C. median value.
D. mode value.
Copyright © 2014, 2011 Pearson Education, Inc.
8
A weighted average that uses the
probabilities to weight the possible
outcomes is called the…
A. expected value.
B. mean value.
C. median value.
D. mode value.
Copyright © 2014, 2011 Pearson Education, Inc.
9
Adding or subtracting a constant to a
random variable…
A. does not affect the expected value.
B. changes the expected value by that
factor.
C. changes the expected value by the
square of that factor.
D. changes the expected value by the
constant.
Copyright © 2014, 2011 Pearson Education, Inc.
10
Adding or subtracting a constant to a
random variable…
A. does not affect the expected value.
B. changes the expected value by that
factor.
C. changes the expected value by the
square of that factor.
D. changes the expected value by the
constant.
Copyright © 2014, 2011 Pearson Education, Inc.
11
Adding or subtracting a constant to a
random variable…
A. does not affect the variance or standard
deviation.
B. changes the the variance and standard
deviation by that factor.
C. changes the variance and standard
deviation by the square of that factor.
D. changes the variance and standard
deviation by that fixed amount.
Copyright © 2014, 2011 Pearson Education, Inc.
12
Adding or subtracting a constant to a
random variable…
A. does not affect the variance or standard
deviation.
B. changes the the variance and standard
deviation by that factor.
C. changes the variance and standard
deviation by the square of that factor.
D. changes the variance and standard
deviation by that fixed amount.
Copyright © 2014, 2011 Pearson Education, Inc.
13
Multiplying the value of a random variable by
a constant…
A. does not affect the expected value.
B. changes the expected value by that
factor.
C. changes the expected value by the
square of that factor.
D. changes the expected value by that fixed
amount.
Copyright © 2014, 2011 Pearson Education, Inc.
14
Multiplying the value of a random variable by
a constant…
A. does not affect the expected value.
B. changes the expected value by that
factor.
C. changes the expected value by the
square of that factor.
D. changes the expected value by that fixed
amount.
Copyright © 2014, 2011 Pearson Education, Inc.
15
Multiplying the value of a random variable by
a constant…
A. does not affect the mean or standard
deviation.
B. changes the mean and standard
deviation by that factor.
C. changes the mean and standard
deviation by the square of that factor.
D. changes the mean and standard
deviation by that fixed amount.
Copyright © 2014, 2011 Pearson Education, Inc.
16
Multiplying the value of a random variable by
a constant…
A. does not affect the mean or standard
deviation.
B. changes the mean and standard
deviation by that factor.
C. changes the mean and standard
deviation by the square of that factor.
D. changes the mean and standard
deviation by that fixed amount.
Copyright © 2014, 2011 Pearson Education, Inc.
17
Multiplying the value of a random variable by
a constant…
A. does not affect the variance.
B. changes the variance by that factor.
C. changes the variance by the square of
that factor.
D. changes the variance by that fixed
amount.
Copyright © 2014, 2011 Pearson Education, Inc.
18
Multiplying the value of a random variable by
a constant…
A. does not affect the variance.
B. changes the variance by that factor.
C. changes the variance by the square of
that factor.
D. changes the variance by that fixed
amount.
Copyright © 2014, 2011 Pearson Education, Inc.
19
The higher the Sharpe ratio, which measures
the relative size of rewards in comparison to
risks…
A. the worse the investment.
B. the better the investment.
C. the less money you lose.
D. you need other information to draw a
conclusion.
Copyright © 2014, 2011 Pearson Education, Inc.
20
The higher the Sharpe ratio, which measures
the relative size of rewards in comparison to
risks…
A. the worse the investment.
B. the better the investment.
C. the less money you lose.
D. you need other information to draw a
conclusion.
Copyright © 2014, 2011 Pearson Education, Inc.
21