This is the other problem I need to solve, any insight on how to do it? Thanks for the help!



Monthly rainfalls in a tropical city are independents and normally distributed with an average of 60 cm and variance of 25 cm2, N(60,5). There is flood in the city if monthly rainfall exceeds 75 cm.
(a)What is the probability of having less than 50 cm?
(b)What is the probability of occurrence of flood?
(c)What is the probability that monthly rainfall exceeds 50 and no flood occurs?
(d)What will be the maximum monthly rainfall if probability of occurrence is 90%?