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. Let X be the number of cancellations on a particular Wednesday.(a) Justify the use of the Poisson model. What is the probability that; (b) no cancellations, (c) one cancellation, (d) more than two cancellations, will occur on a particular Wednesday?(e) Five or more?