onsidering that material procurements follow a Poisson process, with an average rate of one shipment arriving every three workdays (out of the five workdays excluding weekends),  A. What is the probability that more than two business days elapse between successive shipments? B. Assume that it has already been two days since the

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As an intern at a sizable construction company overseeing various projects, your task involves maintaining the company's material procurement database. Considering that material procurements follow a Poisson process, with an average rate of one shipment arriving every three workdays (out of the five workdays excluding weekends),

 A. What is the probability that more than two business days elapse between successive shipments?

B. Assume that it has already been two days since the last shipment was received. What is the probability that the next shipment is still over a day away?

Expert Solution
Step 1: The Poisson Distribution
  • The Poisson distribution is a discrete probability distribution that provides the likelihood of a specific number of events (k) occurring within a defined time or space interval.


  • This distribution is characterized by a single parameter, denoted as λ (lambda), which represents the average or mean number of events within the given interval.

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