The average return for large-cap domestic stock funds over the three years 2009–2011 was 14.4%. Assume the three-year returns were normally distributed across funds with a standard deviation of 4.7% a. What is the probability an individual large-cap domestic stock fund had a three-year return of at least 20% (to 4 decimals)? b. What is the probability an individual large-cap domestic stock fund had a three-year return of 10% or less (to 4 decimals)? c. How big does the return have to be to put a domestic stock fund in the top 10% for the three-year period (to 2 decimals)? %

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question
The average return for large-cap domestic stock funds over the three years 2009–2011 was 14.4%. Assume the three-year returns were normally distributed across funds with a standard deviation of 4.7%.
a. What is the probability an individual large-cap domestic stock fund had a three-year return of at least 20% (to 4 decimals)?
b. What is the probability an individual large-cap domestic stock fund had a three-year return of 10% or less (to 4 decimals)?
c. How big does the return have to be to put a domestic stock fund in the top 10% for the three-year period (to 2 decimals)?
%
Transcribed Image Text:The average return for large-cap domestic stock funds over the three years 2009–2011 was 14.4%. Assume the three-year returns were normally distributed across funds with a standard deviation of 4.7%. a. What is the probability an individual large-cap domestic stock fund had a three-year return of at least 20% (to 4 decimals)? b. What is the probability an individual large-cap domestic stock fund had a three-year return of 10% or less (to 4 decimals)? c. How big does the return have to be to put a domestic stock fund in the top 10% for the three-year period (to 2 decimals)? %
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman