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An investment has an expected return of 1 1 percent per year with a standard deviation of 2 4 percent. Assuming that the returns on

An investment has an expected return of 11 percent per year with a standard deviation of 24
percent. Assuming that the returns on this investment are at least roughly normally
distributed, how frequently do you expect to earn between 13 percent and 35 percent? How
often do you expect to earn less than 13 percent?
I have the answer to this question stated below I just don't understand how it being plus or minus one standard deviation why it would be 2/3rds of the time and would like it explained, I also would like to know what the answer it would be if it were plus or minus two standard deviations.
The range of 13 percent to 35 percent is plus or minus one standard deviation, so about two-thirds
of the time, or about two years out of three.
In one year out of three, you will be outside this range, implying that you will be below it (less than
13 percent) about one year out of six and above it (greater than 35 percent) about one year out of six

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