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In: Statistics and Probability

Suppose the survival time (in months) of certain type of a fatal cancer is a random...

Suppose the survival time (in months) of certain type of a fatal cancer is a random variable X with pdf f(x) = 0.1 e^^{-0.1x} , x > 0 from onset.

(a) Find the probability that a patient will live less than a year from onset.

(b) Find the probability that a patient will live between 6 months to 18 months from onset.

(c) Find the probability that a patient will live more than two years from onset.

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