3.) Suppose annual snow fall is normally distributed with a = 54 inches and = 6. What is the probability that within a given year there will be snowfall totalling between 48 inches and 56 inches? 4.) The central limit theorem says as we increase the number of samplings n, the variance of the sampling distribution will 5.) Diesel Dave has modified his massive truck to combat global cooling, and to roll coal on his neighbor Environmentalist Ed. With each blast of diesel exhaust fumes, Diesel Dave releases sulfur dioxide in a giant black cloud. Every morning as Diesel Dave is leaving home he rolls coal into Environmentalist Ed's yard. Not surprisingly, Environmentalist Ed is diligently collecting data on the air quality in his yard. Suppose Diesel Dave releases sulfur dioxide in a normally distributed manner with a mean of 2800 ppm and a standard deviation of 120 ppm. What is the probability that on a random morning he will release sulfur dioxide greater than 3000 ppm