Gregory decides to go to this well-known transpo hub on his way home from work so that he can take a taxi or a bus there. Poisson distribution can be used to define the arrival of each of his options. A taxi comes every eight minutes, while a bus comes every ten. While a taxi can accommodate 15 passengers, a bus can accommodate 30. Taxis and buses come separately. 1 . What's the likelihood that five buses will show up within the next hour? 2. What's the likelihood that no cab will show up in the ensuing 45 minutes? 3 . What's the likelihood that Gregory will be leaving the terminal after 15 minutes if there are 30 persons waiting in front of him? 4. What's the likelihood that Jordan will be on his way home after 30 minutes of waiting and the arrival of no more than two cabs, assuming that there are 100 passengers in line ahead of him in the terminal?
Gregory decides to go to this well-known transpo hub on his way home from work so that he can take a taxi or a bus there. Poisson distribution can be used to define the arrival of each of his options. A taxi comes every eight minutes, while a bus comes every ten. While a taxi can accommodate 15 passengers, a bus can accommodate 30. Taxis and buses come separately.
1 . What's the likelihood that five buses will show up within the next hour?
2. What's the likelihood that no cab will show up in the ensuing 45 minutes?
3 . What's the likelihood that Gregory will be leaving the terminal after 15 minutes if there are 30 persons waiting in front of him?
4. What's the likelihood that Jordan will be on his way home after 30 minutes of waiting and the arrival of no more than two cabs, assuming that there are 100 passengers in line ahead of him in the terminal?
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