Consider a population of

1024

mutual funds that primarily invest in large companies. You have determined that , the mean one-year total percentage return achieved by all the funds, is 8.90 and that , the standard deviation, is 2.25. Complete (a) through (c).

a.

According to the empirical rule, what percentage of these funds is expected to be within 3 standard deviations of the mean?

b.

According to the Chebyshev rule, what percentage of these funds are expected to be within 4 standard deviations of the mean? (Round to two decimal places as needed.)

c.

According to the Chebyshev rule, at least 96% of these funds are expected to have one-year total returns between what two amounts?

Between _____ and _____ . (Round to two decimal places as needed.)