The frequency of alcohol-related traffic fatalities has dropped in recent years but is still high among young people. Based on data from the National Highway Traffic Safety Administration, the age of a randomly selected, alcohol-impaired driver in a fatal car crash is a random variable with probability density function given by

Find the following probabilities of the age of such a driver.

(a) Less than or equal to 25 

(b) Greater than or equal to 35
(c) Between 21 and 30
(d) Find the cumulative distribution function for this random variable.
(e) Use the answer to part (d) to find the probability that a randomly selected alcohol-impaired driver in a fatal car crash is at most 21 years old.

Transcribed Image Text:

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