Suppose the returns on long$-$term government bonds are normally distributed. Assume long$-$term government bonds have a mean return of $6\mathrm{.}1$ percent and a standard deviation of $9\mathrm{.}8$ percent.

What is the approximate probability that your return on these bonds will be less than $3\mathrm{.}7$ percent in a given year? Use the NORMDIST function in Excel$$ to answer this question.

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

What range of returns would you expect to see $95$ percent of the time?

Note: A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

What range would you expect to see $99$ percent of the time?

Note: A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$