Topic: Mean and Variance of Discrete Random Variable and the Characteristics of Normal Random Variable Example 1: Suppose that you are given the option of two investment portfolios, A and B, with potential profits and the associated probabilities displayed below. PORT Profit ORTFOLIO B Probablity P(x) 0.3 0.1 0.3 0.3 Profit Probability -2,000 4,000 3,000 5,000 Calculated Mean and Standard Deviation for Portfolio A: Calculated Mean and Standard Deviation for Portfolo B: P(x) 0.2 0.2 0.4 0.2 -3,000 -2,000 4,000 5,000 p-1,400 and o = 3,322.65 1,600 and o = 3,882.31 A Using the mean and variance of Portfollo A, interpret the result.2022/378 15:05 B. Based on the expected profits, which portfolio will you choose?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Mean and Variance of Discrete Random Variable and the Characteristics of Normal Random Variable Example 1: Suppose that you are given the option of two investment portfolios, A and B, with potential profits and the associated probabilities displayed below. PORTFOLIO A Profit X -2,000 -4,000 3,000 5,000 PROBABILITY P(x) 0.3 0.1 0.3 0.3 PORTFOLIO B Profit X -3,000 -2,000 4,000 5,000 Probability P(X) 0.2 0.2 0.4 0.2 Calculated Mean and Standard Deviation for Portrollo A: Mean = 1,400 and standard deviation = 3,322.65 Calculated Mean and Standard Deviation for Portrollo B: Mean=1,600 and standard deviation= 3,882.31 A. using the mean and variance of portfolio A, interpret the result B.Based on the expected profits, which portfolio will you choose?
Topic:
Mean and Variance of Discrete Random Variable and the Characteristics of Normal Random
Variable
Example 1: Suppose that you are given the option of two investment portfolios, A and B, with
potential profits and the associated probabilities displayed below.
PORTPOLIO
Profit
Probablity
P(x)
0.3
0.1
0.3
0.3
Calculated Mean and Standard Deviation for Portfolio A: p= 1,400 and 6 = 3,322.65
ORTFOLIO
Probablity
P(X)
0.2
0.2
0.4
Profit
-2,000
4,000
3,000
5,000
-3,000
-2,000
4,000
5,000
0.2
!3!
%3D
Calculated Mean and Standard Deviation for Portfollo B:
A. Using the mean and variance of Portfolo A, interpret the result.20227378 15:05
p= 1,600 and 8= 3.882.31
%3!
B. Based on the expected profits, which portfolio will you choose?
Transcribed Image Text:Topic: Mean and Variance of Discrete Random Variable and the Characteristics of Normal Random Variable Example 1: Suppose that you are given the option of two investment portfolios, A and B, with potential profits and the associated probabilities displayed below. PORTPOLIO Profit Probablity P(x) 0.3 0.1 0.3 0.3 Calculated Mean and Standard Deviation for Portfolio A: p= 1,400 and 6 = 3,322.65 ORTFOLIO Probablity P(X) 0.2 0.2 0.4 Profit -2,000 4,000 3,000 5,000 -3,000 -2,000 4,000 5,000 0.2 !3! %3D Calculated Mean and Standard Deviation for Portfollo B: A. Using the mean and variance of Portfolo A, interpret the result.20227378 15:05 p= 1,600 and 8= 3.882.31 %3! B. Based on the expected profits, which portfolio will you choose?
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