We saw that the age of a randomly selected, alcohol-impaired driver in a fatal car crash is a random variable with probability density function given by

(a) Find the expected age of a drunk driver in a fatal car crash.
(b) Find the standard deviation of the distribution.
(c) Find the probability that such a driver will be younger than 1 standard deviation below the mean.
(d) Find the median age of a drunk driver in a fatal car crash.

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f(t) = 4.045 11.532 for t in [16, 80].