Find $c$ such that the function $f(x)=c{e}^{-(2x+3)}$ is a valid probability distribution over the range $0\mathrm{.}600>x>0\mathrm{.}4912.$

Select one:

a$.166\mathrm{.}38837018$

b$.629\mathrm{.}63716872$

C$.274\mathrm{.}32804512$

d$.548\mathrm{.}65609024$

e$.1\mathrm{.}35998248$