The annual rainfall in a remote Middle Eastern country varies from 0 to 5 in. and is a random variable with probability density function defined by

Find the following probabilities for the annual rainfall in a randomly selected year.
(a) The probability that the annual rainfall is greater than 3 in.
(b) The probability that the annual rainfall is less than 2 in.
(c) The probability that the annual rainfall is between 1 in. and 4 in.

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f(x) = 5.5 - x X 15