Let X be a random variable with probabilitydistribution function:f(x) = P(X= x) =where k is a constant.kx,k(6 - x),0,ifififx = 1, 2, 3x = 4,5x

Let X be a random variable with probabilitydistribution function:f(x) = P(X= x) =where k is a constant.kx,k(6 - x)²,0,ifififx = 1, 2, 3x = 4,5x = any other integerFind the exact value of k. Give your answeras fraction in fully simplified form.