Section Exercise 6-38 At an outpatient mental health clinic, appointment cancell

Question

Section Exercise 6-38 At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.3 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. 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 a particular Wednesday? (Round your answer to 4 decimal places.) Probability (c) What is the probability that one cancellation will occur on a particular Wednesday? (Round your answer to 4 decimal places.) Probability (d) What is the probability that more than three cancellations will occur on a particular Wednesday? Round your answer to 4 decimal places.) Probability (e) What is the probability that three or more cancellations will occur on a particular Wednesday? (Round your answer to 4 decimal places.) Probability

Explanation / Answer

Ans:

mean=1.3 per day

a)cancellations are independent and similar to arrivals.

b)P(x=0)=e-1.3*(1.30/0!)=0.2725

c)P(x=1)=e-1.3*(1.31/1!)=0.3543

d)use excel function POISSON:

P(x>3)=1-P(x<=3)=1-POISSON(3,1.3,TRUE)=1-0.9569=0.0431

e)P(x>=3)=1-P(x<=2)=1-POISSON(2,1.3,TRUE)=1-0.8571=0.1429

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.