I need your help solving this problem. Please help me by answering and showing explanation. What is the value ofK?, what is the probability that you study at most two hours?, what is the expected value of X?, what is the expected value of X²?, What is the variance of X?, and what is the standard deviation of X?

Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values , has the following form, where & is some unknown constant. P(X = x) = 0.1, if x = 0 = kx, if x = 1 or 2 = k(5 - ac), if a = 3 or 4 = 0, otherwise