In: Math
In the last quarter of 2007, a group of 64 mutual funds had a
mean return of 1.9% with a standard deviation of 6.3%. Consider
the Normal model N(0.019,0.063) for the returns of these mutual
funds.
a) What value represents the 40th percentile of these returns?
b) What value represents the 99th percentile?
c) What's the IQR, or interquartile range, of the quarterly
returns for this group of funds?
Here
X ~ Normal(0.019, 0.0632)
a) To find 40th percentile of X i.e. x1 such that
b) To find 99th percentile of X i.e. x2 such that
c) To find 25th percentile of X i.e. x3 such that
and
To find 75th percentile of X i.e. x4 such that
So, Interquartile range =