In the last quarter of $2007,$ a group of $64$ mutual funds had a mean return of $5\mathrm{.}5\%$ with a standard deviation of $5\mathrm{.}9\%.$ If a normal model can be used to model them, what percent of the funds would

you expect to be in each region? Use the $68-95-99\mathrm{.}7$ rule to approximate the probabilities rather than using technology to find the values more precisely. Be sure to draw a picture first.

a$)$ Returns of $11\mathrm{.}4\%$ or more

b$)$ Returns of $5\mathrm{.}5\%$ or more

c$)$ Returns between $-6\mathrm{.}3\%$ and $17\mathrm{.}3\%$

d$)$ Returns of more than $23\mathrm{.}2\%$

a$)$ The expected percentage of returns that are $11\mathrm{.}4\%$ or more is $\%.$

$($Type an integer or a decimal.$)$