Ex.1 Open the sheet "Ex 1 Simulation Basics" to complete this exercise. Assume the annual amount of rainfall in New Orleans, denoted as X, follows a normal distribution with a mean () of 60 inches and a standard deviation () of 20 inches, represented as XN(60,20). Then, you can simulate X for 100 times. a) What is the probability of receiving exactly 50 inches of annual rainfall in NOLA? b) What is the probability of receiving more than 90 inches of annual rainfall in NOLA? c) Find the rainfall amount that corresponds to the 25 th percentile (i.e., 25% of the rainfall amounts are below this value) in NOLA. d) What is the average and standard deviation of your 100 simulated outcomes? e) Use your solution in d) to write down the 95% confidence interval of your sample average outcome. The annual amount of rainfall in NOLA (denoted as X ) is normally distributed MeanStd.Dev6020 Provide your solutions to each question in the blue cell. In order to answer ex d) and e), a) b) c) d) average std.dev e)