A) Suppose that the number of customers who enter a bank in an hour is a Poisson

Question

A) Suppose that the number of customers who enter a bank in an hour is a Poisson random variable and that P(X=0)=0.04. Determine the mean and variance of X.

B) The number of earthquake tremors in a 12-month period appears to be distributed as a Poisson random variable with a mean of 6. Assume the number of tremors from one 12-month period is independent of the number in the next 12-month period.

(a) What is the probability that there are 10 tremors in 1 year?

(b) What is the probability that there are 18 tremors in 2 years?

(c) What is the probability that there are no tremors in a 1-month period?

(d) What is the probability that there are more than 5 tremors in a 6-month period?

Explanation / Answer

a) poissonpdf(6,10) b) poissonpdf(12,18) c) poissonpdf(0.5,0) d) 1-poissoncdf(3,5)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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