Use the following information to answer the next three questions. An unknown distribution has the following parameters: μx = 45 and σx = 8. A sample size of 50 is drawn randomly from the population.
1. Find P (ΣΧ > 2,400)
2. Find ΣΧ where z = -2
3. Find the 80th percentile for the sum of the 50 values of x.