5. Absent-minded professor. Because of his absent-mindedness, Professor N. arrives late for 10% of the lec- tures. When
Posted: Wed May 11, 2022 5:16 pm
5. Absent-minded professor. Because of his absent-mindedness, Professor N. arrives late for 10% of the lec- tures. When Professor N. is late, the arrival time delay is a continuous random variable uniformly distributed from 0 to 10 minutes. Yet, as soon as Professor N. is 5 minutes late, all the students get up and leave. (It is unknown if Professor N. still gives the lectures.) If a lecture starts when Professor N. arrives and always ends 80 minutes after the scheduled starting time, what is the pdf of T, the length of time that the students observe a lecture?