Consider a population of 1024 mutual funds that primarily invest in large companies. You determined that u, the mean one year total percentage return achieved by all funds, is 8.20 and that o, the standard deviation is 2.75. In addition, suppose it is determined that the range in the one-year total returns is from -2.0 to 17.1 and that the quartiles are, respectively, 5.5 (Q₁) and 10.5 (Q₃). According to the emperical rule, what percentage of these funds is expected to be

a. within+- 1standard deviation of the mean?

b. within +-2 standard deviations of the mean?

c.According to the Bienayme-Chebyshev rule, what percentage of these funds are expected to be within +-1 standard deviation of the mean?

d. According to the Bienayme-Chebyshev rule, what percentage of these funds are expected to be within +-2 standard deviation of the mean?

e. According to the Bienayme-Chebyshev rule, what percentage of these funds are expected to be within +-3 standard deviation of the mean?

f. According to the Bienayme-Chebyshev rule, at least 93.75% of these funds are expected to have one-year total returns between what two amounts?