Concept explainers
Interpretation: The probability that during a particular time, no customer arrives. Further, customers arrive between one and four is to be determined.
Concept Introduction:
The probability between the arrival of one and four customers can be calculated by the Poisson distribution.
Explanation of Solution
The formula of the Poisson distribution is as follows,
Probability of customer during one time period
The probability when 4 customer arrives
Probability when 1, 2, and 3 customers arrive at any specific time.
1= 0.2706
2=0.2706
3=0.1804
4=0.0902
Thus, the probability that between 1 and 4 customer arrives.
Thus,
The probability that no customer arrives is 0.1353
The probability that between 1 and 4 customer arrives is 0.8118
Want to see more full solutions like this?
Chapter B Solutions
Operations Management: Processes And Supply Chains (12th Edition) (what's New In Operations Management)
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,MarketingMarketingISBN:9780357033791Author:Pride, William MPublisher:South Western Educational Publishing