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Telephone calls arrive at a doctor’s office according to a
Chapter 3, Problem 2E(choose chapter or problem)
Problem 2E
Telephone calls arrive at a doctor’s office according to a Poisson process on the average of two every 3 minutes. Let X denote the waiting time until the first call that arrives after 10 a.m.
(a) What is the pdf of X?
(b) Find P(X > 2).
Questions & Answers
QUESTION:
Problem 2E
Telephone calls arrive at a doctor’s office according to a Poisson process on the average of two every 3 minutes. Let X denote the waiting time until the first call that arrives after 10 a.m.
(a) What is the pdf of X?
(b) Find P(X > 2).
ANSWER:
Solution:
Step 1 of 3:
The telephone calls arrive at a doctor’s office at a doctor’s office according to a Poisson process on the average of two every 3 minutes. If X denote the waiting time until the first score arrives after 10a.m.we have to find
- Pdf of X
- P(X>2).