The average rainfall, recorded to the nearest hundredths of a cm, in Roanoke, Virginia for the month of March is 8.22cm. Assuming a normal distribution with a standard deviation of 2.83 cm, find the...

The average rainfall, recorded to the nearest hundredths of a cm, in Roanoke, Virginia for the month of March is 8.22cm. Assuming a normal distribution with a standard deviation of 2.83 cm, find the probability that next march, Roanoke receives

a)less than 1.84 cm of rain

b)more than 5 cm but not over 7cm of rain

c)more than 13.8 cm of rain