Suppose the returns on an asset are normally distributed. Suppose the historical average annual return for the asset was $5\mathrm{.}7$ percent and the standard deviation was $18\mathrm{.}3$ percent.

a$.$ What is the probability that your return on this asset will be less than $-4\mathrm{.}1$ 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$.,32\mathrm{.}16.$

b$.$ 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 for the range from lowest to highest. Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

c$.$ What range would you expect to see $99\mathrm{.}7$ percent of the time?

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