Annual rainfall in New York falls at an average of 33 inches per year. Let the annual rainfall in New York represent a normal random variable with standard deviation 8 inches.

(a) What is the probability that in 20 years, the annual rainfall in New York does not surpass the 50 inches?

(b) How many years would have to pass in order for the probability of having at least one year of annual rainfall in New York exceeding 50 inches to be 20%?

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