Question
Consider the following scenarios. For each scenario, decide if it follows a Binomial or a Poisson distribution, or neither and explain why. Then, calculate the
Consider the following scenarios. For each scenario, decide if it follows a Binomial or a Poisson distribution, or neither and explain why. Then, calculate the corresponding probability if possible.
- In a particular online community, the "leadership" of the community bans an average of eight users per day for various unpleasant behaviors. What is the probability that there will be more than 50 bans in the next four weeks?
2. While crossing a bridge the probability that a car will be punctured is 0.00005. During a given day, 10,000 cars cross the bridge. What is the probability that at least one car will be punctured?
3. A restaurant owner employs 4 chefs and 8 wait staff. She decides to randomly give a $50 bonus to each of two employees by using Python to randomly select names from a numpy array with the names of all twelve employees. What is the probability that she selects two chefs?
4. A university's Outdoor Resource Center rents out various equipment, including large tents (meant for up to 10 people to sleep in). The center keeps four such tents available for rent, as they find that three such tents are reserved per weekend on average. What is the probability that the center will receive more rental requests than they can fill?
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