Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Consider a population of 1024 mutual funds that primarily invest in large companies. You have determined that u, the mean one-year total percentage return achieved by all the funds, is 9.80 and that o, the standard deviation,
is 0.50. Complete (a) through (c).
a. According to the empirical rule, what percentage of these funds is expected to be within +2 standard deviations of the mean?
95 %
b. According to the Chebyshev rule, what percentage of these funds are expected to be within +2 standard deviations of the mean?
75 % (Round to two decimal places as needed.)
c. According to the Chebyshev rule, at least 88.89% of these funds are expected to have one-year total returns between what two amounts?
Between and
(Round to two decimal places as needed.)
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Transcribed Image Text:Consider a population of 1024 mutual funds that primarily invest in large companies. You have determined that u, the mean one-year total percentage return achieved by all the funds, is 9.80 and that o, the standard deviation, is 0.50. Complete (a) through (c). a. According to the empirical rule, what percentage of these funds is expected to be within +2 standard deviations of the mean? 95 % b. According to the Chebyshev rule, what percentage of these funds are expected to be within +2 standard deviations of the mean? 75 % (Round to two decimal places as needed.) c. According to the Chebyshev rule, at least 88.89% of these funds are expected to have one-year total returns between what two amounts? Between and (Round to two decimal places as needed.)
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