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At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.2 per...

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Question

Basic Math

At an outpatient mental health clinic, appointment cancellationsoccur at a mean rate of 1.2 per day on a typical Wednesday. LetX be the number of cancellations on a particularWednesday.

  

(a)Justify the use of the Poisson model.
  
Cancellations are independent and similar to arrivals.
Cancellations are not independent.
Most likely cancellations arrive independently.

  

(b)

What is the probability that no cancellations will occur on aparticular Wednesday? (Round your answer to 4 decimalplaces.)

  

  Probability  

  

(c)

What is the probability that one cancellation will occur on aparticular Wednesday? (Round your answer to 4 decimalplaces.)

  

  Probability  
(d)

What is the probability that more than two cancellations willoccur on a particular Wednesday? (Round your answer to 4decimal places.)

  

  Probability  

  

(e)

What is the probability that three or more cancellations willoccur on a particular Wednesday? (Round your answer to 4decimal places.)

  

  Probability  

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