2. Consider a public school that is devising a budget for next year. The school administration won't know the exact enrollment until the first day, but, based on past data, they believe that enrollment is normally distributed, with Mean = 1250 Standard Deviation = 50 a.) Solve for the probability that the school will have more than 1272 students. (4) b.) Solve for the probability that the school will have less than 1228 students.(3) c.) Solve for the probability that the school will have between 1228 and 1272 students.(3) d.) Solve for the probability that the school will have between 1228 and 1378 students.(4) e.) Solve for the probability that the school will have between 1272 and 1378 students.(4)