Consider this normal distribution graph and the information below for the next two questions: uaverage, sigma standard deviation. Question 8 Percents are probabilities of being within the indicated segments of the X axis. 0.13% 2.14% 13.59% 34.13% 34.13% 13.59% 2.14% 0.13% For example, there is a 34.13% probability of being between u and u + sigma μ-4σ μ-30 μ-20 н-о H H+o μ+20 μ+3σμ+40 You have analyzed 30 years of historical, annual returns of Vanguard's VIOO ETF. VIOO aims to follow the performance of the S&P 600 Small-Cap stock index. (The S&P 500 is a large-cap index). You found the average return = 10% and the standard deviation of returns 20%. You plan to model future VIOO returns (for better or worse) as normally distributed, based on your historical analysis. Question 91 What is the probability that, in any given future year, the VIOO return will be 30% or better? Round your answer to three decimal places. What is the probability that, in any given future year, the VIOO return will be -30% or worse? Round your answer to three decimal places.
Consider this normal distribution graph and the information below for the next two questions: uaverage, sigma standard deviation. Question 8 Percents are probabilities of being within the indicated segments of the X axis. 0.13% 2.14% 13.59% 34.13% 34.13% 13.59% 2.14% 0.13% For example, there is a 34.13% probability of being between u and u + sigma μ-4σ μ-30 μ-20 н-о H H+o μ+20 μ+3σμ+40 You have analyzed 30 years of historical, annual returns of Vanguard's VIOO ETF. VIOO aims to follow the performance of the S&P 600 Small-Cap stock index. (The S&P 500 is a large-cap index). You found the average return = 10% and the standard deviation of returns 20%. You plan to model future VIOO returns (for better or worse) as normally distributed, based on your historical analysis. Question 91 What is the probability that, in any given future year, the VIOO return will be 30% or better? Round your answer to three decimal places. What is the probability that, in any given future year, the VIOO return will be -30% or worse? Round your answer to three decimal places.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Consider this normal distribution graph and the information below for the next
two questions:
Question 8
u- average.
sigma standard deviation.
0.13% 2.14% 13.59% 34.13% 34.13% 13.59% 2.14% 0.13%
Percents are probabilities of being
within the indicated segments of
the X axis.
μ-4σ μ-30 μ-20 μ-o
H+o μ+20 μ+3σμ+40
You have analyzed 30 years of historical, annual returns of Vanguard's VIOO
ETF. VIOO aims to follow the performance of the S&P 600 Small-Cap stock
index. (The S&P 500 is a large-cap index). You found the average return = 10%
and the standard deviation of returns 20%. You plan to model future VIOO
returns (for better or worse) as normally distributed, based on your historical
analysis.
H
Question 9
For example, there is a 34.13%
probability of being between u and
u + sigma
What is the probability that, in any given future year, the VIOO return will be
30% or better? Round your answer to three decimal places.
What is the probability that, in any given future year, the VIOO return will be
-30% or worse? Round your answer to three decimal places.
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