Question.5555 - Scenario: A local bakery, known for its artisan bread, monitors operational data to improve its business strategies. On weekdays, the bakery receives an average of 4 online bread orders per hour. Some customers repeatedly attempt to order limited-edition bread until they succeed. The bakery also conducts special promotions, randomly selecting a certain number of customers to win free bread vouchers. Your task is to study this data using probability distributions to help the bakery in its operations. Question: Find the probability that the bakery will receive exactly 6 orders in a single hour on a weekday, with clear indications of all notations, formulas, and calculation steps. Also, discuss the key features of the Poisson distribution that make it suitable for this situation.
Answer Below:
The scenario carries the features of Poisson distribution because orders happen independently of each other. The event occurs at a known average rate...
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