A small southern West Australian country town has maintained records showing that the daily maximumtemperature during summer (Dec.,Jan.,Feb.) has averaged 30 degree Celsius with a standard deviation of 5 degree Celsius. Further, the maximum temperature appears to be approximately normally distributed.

Find:

(a) the percentageof summer days that will have a maximumtemperature between 30C & 35C.

(b) the percentageof days that the maximumtemperature will exceed 37.5 C

(c) the probability that the maximum temperature will be less than 24 C.

(d) the proportion of summer daysthat the maximum temperature will be between 18C and 20C

(e)The maximumtemperature that will be exceeded only 5% of the time.