t) for t E (0, 00). How long do you expect to sleep for? (You can set up the integral and use Mathe- matica or

(a) (b) " ' " ' ' " i r' ' av At 9PM, you come across a particularly desirable member of your preferred gender, and naturally you swipe right on them. Not understanding how Tinder works, you stare at your phone, waiting for them to swipe back. What is the probability that you hear from the apple of your eye within one hour? You hear nothing, and it's 10PM. In a t of desperation, you open Tinder and swipe right on 9 additional prospects. You go to bed, but put your phone on max volume so that any notication from Tinder will wake you up. Uninterrupted, you would sleep for 10 hours. Otherwise you wake up when you get your rst match. Let S be the amount of time you sleep. Find IP(S' > t) for t E (0, 00). How long do you expect to sleep for? (You can set up the integral and use Mathe- matica or any other software of your choice.)