The time to failure density function $($pdf$)$ for a system is

$f(t)=0\mathrm{.}01,0t100$ days

Find

a$)R(t)$

b$)$ The failure rate function or $(t)$

c$)$ The MTTF

d$)$ The median time to failure or $t_{\text{m}\text{e}\text{d}}$