The county highway department recorded the following probabilities for the number of accidents per day on a certain freeway for one month. The number of accidents per day and their corresponding probabilities are shown. a) [2 pts] What value of I) would make the problem have a valid prnf. State the criteria used to check for a valid pmf. ' b) [2 pts] Find E(X). c) [2 pts] Find V(X). d) [2 pts] What is the probability there is at least 1 accident on this highway on a particular day? e) [3 pts] What is the cumulative distribution function