The probability distribution of a discrete random variable X is given below:

Question

X 2 3 4 5 P(x) $\Large\frac{5}{k}$ $\Large\frac{7}{k}$ $\Large\frac{9}{k}$ $\Large\frac{11}{k}$ The value of k is $(A)\;8\quad(B)\;16\quad(C)\;32\quad(D)\;48$