The average return for large-cap domestic stock funds over the three years 2009-2011 was 14.7%. Assume the three-year returns were normally distributed across funds with a standard deviation of 4.5%. Use Table 1 in Appendix B. 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)? %

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The average return for large-cap domestic stock funds over the three years 2009-2011 was 14.7%. Assume the three-year returns
were normally distributed across funds with a standard deviation of 4.5%. Use Table 1 in Appendix B.
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 14.7%. Assume the three-year returns were normally distributed across funds with a standard deviation of 4.5%. Use Table 1 in Appendix B. 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)? %
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