In the first quarter of 2017, a group of mutual funds had a mean return of 6.3% and a standard deviation of 2.9%. The returns were well-described by a Normal model. According to the Normal model N(6.3%,2.9%) determine what percentage of this group of funds you would expect to have the following returns. a) Over 6.8%? c) More than 1%? b) Between 0% and 7.6%? d) Less than 0%?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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In the first quarter of 2017, a group of mutual funds had a mean return of 6.3% and a standard deviation of 2.9%. The
returns were well-described by a Normal model. According to the Normal model N(6.3%, 2.9%) determine what
percentage of this group of funds you would expect to have the following returns.
a) Over 6.8%?
c) More than 1%?
b) Between 0% and 7.6%?
d) Less than 0%?
Transcribed Image Text:In the first quarter of 2017, a group of mutual funds had a mean return of 6.3% and a standard deviation of 2.9%. The returns were well-described by a Normal model. According to the Normal model N(6.3%, 2.9%) determine what percentage of this group of funds you would expect to have the following returns. a) Over 6.8%? c) More than 1%? b) Between 0% and 7.6%? d) Less than 0%?
Expert Solution
Step 1: Introducing the given information
X~N( μ , ?)

μ = 6.3 , ? = 2.9


Z-score =( x - μ )/?


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