4.8.4Calls arriving at a switchboard follow a Poisson process with parameter λ = 5.2 per minute. (a) What is the expected waiting time between the arrivals of two calls? (b) What is the probability that the waiting time between the arrivals of two calls is less than 10 seconds? (c) What is the distribution of the time taken for ten calls to arrive at the switchboard? (d) What is the expectation of the time taken for ten calls to arrive at the switchboard? (e) What is the probability that more than five calls arrive at the switchboard during a 1-minute period?

4.8.4Calls arriving at a switchboard follow a Poisson process with parameter λ = 5.2 per minute. (a) What is the expected waiting time between the arrivals of two calls? (b) What is the probability that the waiting time between the arrivals of two calls is less than 10 seconds? (c) What is the distribution of the time taken for ten calls to arrive at the switchboard? (d) What is the expectation of the time taken for ten calls to arrive at the switchboard? (e) What is the probability that more than five calls arrive at the switchboard during a 1-minute period?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 59E

See similar textbooks