For the following problem, use the $68-95-99\mathrm{.}7$ Rule to approximate the probability rather than using technology to find

the values more precisely.

Although controversial and the subject of some recent law suits, some human resource departments administer

standard IQ tests to all employees. One IQ test's scores are well modeled by a Normal model with mean $100$ and

standard deviation $14.$ If the applicant pool is well modeled by this distribution, what cutoff value would separate a

randomly selected applicant into the following regions?

a$)$ the highest $50\%$

b$)$ the highest $16\%$

c$)$ the lowest $2\mathrm{.}5\%$

d$)$ the middle $68\%$

a$)$ The cutoff value would be

$($Type an integer or a decimal. Do not round.$)$

b$)$ The cutoff value would be

$($Type an integer or a decimal. Do not round.$)$

c$)$ The cutoff value would be

$($Type an integer or a decimal. Do not round.$)$

d$)$ The lower cutoff value would be and the upper cutoff value would be

$($Type integers or decimals. Do not round.$)$