Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values of x, has the following form, where k is some constant.
P(X = x) = 0, 1, if x = 0
P(X = x) = Kx, if x = 1 or 2
P(X = x) = K(5 - x), if x = 3 or 4
P(X = x) = 0, otherwise
find the value of k.
