In a certain region, rain per year is approximately normally distributed with mean=49 inches and standard deviation=8 inches. PART ONE: Find the probability that in a given year there are : 1) at most 61 inches of rain 2) at least 51 inches of rain 3) between 45 and 57 inches of rain d) between 49 and 65 inches of rain . PART TWO: using above date, find the annual amount of rain for the 1) 35th percentile 2) 60th percentile 3) 95th percentile