L22.2 Definition of the Poisson Process

MIT RES.6-012 Introduction to Probability, Spring 2018
Instructor: John Tsitsiklis

License: Creative Commons BY-NC-SA

[elviswu]

Thank you. Starting from comparison with Bernoulli is an excellent explanation.

[mac]

Excellent explanation, MIT well deserves its world class reputation.

[darshansrinivas]

One of the best explaination for Independent increments and Stationary increments
Thank You

[km-sckz]

what should be the size of delta for that relation to hold? can we get an exact relation for that

[analisecritica]

What is the resolution of this exercise:

Consider a queuing model with two attendants and a waiting position operating under steady-state conditions. Suppose that if a customer arrives and finds both agents busy and the waiting position unoccupied, then the customer will wait as long as necessary for service. If the customer finds both attendants busy and the waiting position also occupied, he leaves immediately.

Customers access the system according to a Poisson process with a rate of 2 customers per hour and that service follows an exponential distribution with a mean of 1 hour. The proportion of customers who arrive at the system and will not be served is:

a)2/5 b)1/8 c)2/3 d)2/7 e)1/6