The average amount of rain per year in Greenville is 49 inches. The standard deviation is 8 inches. Find the probability that next year Greenville will receive the following amount of rainfall. Assume the variable is normally distributed.
a. At most 55 inches of rain
b. At least 62 inches of rain
c. Between 46 and 54 inches of rain
d. How many inches of rain would you consider to be an extremely wet year?