You are now the recent parent of a small baby. Congratulations. Said baby now needs frequent diaper changes. Assume that the baby needs its diaper changed regularly, though at uncertain times during the day, which are Poisson distributed over time at a rate () of approximately 1 diaper(s) change every 0.9 hours. You need groceries and hop into your car with the baby and diaper bag to go to the store. If a round trip to the store takes 1.6 hours, what is the probability that you will need to change at least one diaper before you get home? 100% If you only have 3 diapers in your bag, how much time do you have to run your errands before there is 34.23% chance that you will use up all those diapers?