4. (20) As an avid Carolina fan, you would like to predict the total number of games that UNC's football team will win this year. A group of college football \"experts\" have taken possible win totals for UNC and assigned probabilities to them. By their calculations: 0 there is a 15% chance that UNC will win 5 games, o a 26% chance they will win 6 games, o a 30% chance they will win 7 games, o a 22% chance they will win 8 games, and o a 7% chance they will win 9 games. Round your answers to the questions below to 3 decimal places. 4.1. (6) According to the experts' probability distribution, what is UNC's expected number of wins this year? 4.2. (6) Calculate the standard deviation for UNC's number of wins this year. 4.3. (8) You're a dedicated fan, and you're in this for the long haul! Assuming that the experts' distribution will apply for all future years as well as this one, use it to calculate the mean and standard deviation of UNC's total number of wins over the next 4 years, assuming that each year is independent of all others