At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.5 per day

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At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.5 per day on a typical Wednesday. Let X be the number of cancellations on a particular Wednesday.
(a) Justify the use of the Poisson model.
(b) What is the probability that no cancellations will occur on a particular Wednesday?
(c) That one will?
(d) More than two?
(e) Five or more?
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