Someone please answer the following questions, I need help solving fully.

5. Consider a random walker on a square two-dimensional grid. Suppose that initially the walker starts at the origin, that is at the point (x, y) = (0, 0). At each time step, there is a probability p(still) = 0.50 that the walker will simply remain still, and a probability p(move) = 0.50 that the walker will take a step. If the walker does take a step, two-thirds of the time the walker moves one unit in the positive y-direction, and one-third of the time the walker moves one unit in the positive x-direction. After seven time steps, what is the probability that the walker is at the point (x, y) = (3, 2)? 6. A discrete random variable X has an unnormalized probability mass function (PMF) given by: C P(X = k) = (5 -k) defined for values of k E {1, 2, 3, 4). (a) (3 points) Find the constant C. (b) (3 points) Find the expectation value of X, that is find E[X]. (c) (4 points) Find the variance of X, that is find Var[X]