Suppose the retarns on an asset are normally distributed. The historical average annual return for the asset was $7\mathrm{.}4$ percent and the standard deviation was $16\mathrm{.}4$ percent.

a$.$ What is the probability that your return on this asset will be less than $-6\mathrm{.}1$ percent in a given year? Use the NORMDIST function in Excel to answer this question.

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

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

Note: Enter your answers for the range from lowest to highest. A negative answer should be Indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$\mathrm{.}9.,32\mathrm{.}16.$

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

Note: Enter your answers for the range from lowest to highest. A negatlve answer should be Indicated by a minus slgn$.$ Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$\mathrm{.}9.,32\mathrm{.}16.$

$\backslash$table$[[$a$.$ Probablility,,$\%,,,],[$b$.95\%$ level,,$\%,$to$,,],[$c$.99\%$ level,,$\%,$to$,,]]$