In: Statistics and Probability
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.