Acollege professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after the hour. let x = the time that elapses between the end of the hour and the end of the lecture and suppose the pdf of x is as follows.
(a) f(x) = kx^2 for 0 (b) f(x) = 0 for otherwise.
find the value of k and draw the corresponding density curve