Determine the value c so that the following function can serve as a probability distribution of the discrete random variable x.
\(f(x)=c(x+4),\;for\; x=0,1,2,3 \)
\( \frac{1}{22}\)
\( \frac{1}{20}\)
\( \frac{1}{18}\)
\( \frac{1}{16}\)
