Assume that the returns from an asset are normally distributed. The average annual return for this asset over a specific period was $17\mathrm{.}1$ percent and the standard deviation of those returns in this period was $41\mathrm{.}7$ percent.

a$.$ What is the approximate probability that your money will double in value in a single year? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What about triple in value? $($Do not round intermediate calculations and enter your answer as a percent rounded to $6$ decimal places, e$.$g$.,161616.)$

$\backslash$table$[[$a$.,$Probability of doubling,$2\mathrm{.}33\%$