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Suppose the returns on long-term government bonds are normally distributed. Based on the historical record from 1926-2008, long-term government bonds had a mean return of

Suppose the returns on long-term government bonds are normally distributed. Based on the historical record from 1926-2008, long-term government bonds had a mean return of 6.1 percent and a standard deviation of 9.4 percent.

Required:
(a)

Based on the historical record, what is the approximate probability that your return on these bonds will be less than ?3.3 percent in a given year? (Do not include the percent sign (%).Round your answer to 2 decimal places. (e.g., 32.16))

Probability %
(b)

What range of returns would you expect to see 95 percent of the time? (Do not include the percent signs (%). Negative amounts should be indicated by a minus sign. Input your answers from lowest to highest to receive credit for your answers. Round your answers to 2 decimal places. (e.g., 32.16))

Range of return % to %
(c)

What range would you expect to see 99 percent of the time? (Do not include the percent signs (%). Negative amounts should be indicated by a minus sign.Input your answers from lowest to highest to receive credit for your answers. Round your answers to 2 decimal places. (e.g., 32.16))

Range of return % to %

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