The 50-year largest wind speed (S) at a site of interest for a high rise building can be assumed to follow an extreme value, largest type II, distribution with a mean of 100 mph and a standard deviation of 20 mph. Determine the following probabilities:

(a) P(S > 120),

(b) P(S < 100),

(c) P(S = 110), and

(d) P(100 < S < 120).