In the last quarter of 2007, a group of 64 mutual funds had a mean return of
2.4%
with a standard deviation of
6.1%
Consider the Normal model
N(0.0240.024,0.0610.061)
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?
(a)
Ans : 0.01 = 1%
(b)
Ans : 0.17 = 17%
(c)
IQR = Q3 - Q1 = 0.06+0.02 = 0.08 = 8%
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