Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities 0.10, 0.45, 0.40, and 0.05, respectively. The repair facility currently charges a flat fee of $75, but they are considering changing this to $180/(5 − x) for x components. What is the expected value of this payment, E[180/(5 − X)]?