The probability distribution of a discrete random variable x is given below: x 2 3 4 5  p(x)   $\frac{5}{k}$   $\frac{7}{k}$   $\frac{9}{k}$   $\frac{10}{k}$  The value of k is:

31 30 16 36

31

The correct answer is Option (1) - 31