View the step-by-step solution to:


6. Smith has a small booth where he sells lottery tickets. Customers arrive according to a Poisson process of rate

λ per minute. He will close the shop on the first occasion that a minutes have elapsed since the last customer arrived. Let X be the amount of time that he keeps the shop open. Show that EX = λ−1(eλa − 1) minutes.

Hint: condition on the arrival time of the first customer. 

Please verify my answer below:





Top Answer

Sign up to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.


Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Ask a homework question - tutors are online