Question: all information is in graph (9 marks) Say annual rainfall in Vancouver (in metres), X, has the probability density function f(x) = X 2 ex-/202

all information is in graph

(9 marks) Say annual rainfall in Vancouver (in metres), X, has the probability density function f(x) = X 2 ex-/202 where x 2 0 and o > 0. For the following questions, you must give closed-form expressions (i.e., with no integrals), but you do not need to give final numeric values. a) (3 marks) What is the probability that annual rainfall will exceed 1.5 m? b) (3 marks) If we know that the rainfall in a given year is greater than 1 m, what is the probability that it will exceed 1.5 m? c) (3 marks) Compute the 10" percentile of rainfall

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