Problem 4. Marsha operates an expresso stand. Customers arrive according to a Poisson process at ...

Question

Question

Problem 4. Marsha operates an expresso stand. Customers arrive according to a Poisson process at a mean rate of 30 per hour.

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

mcan go 40 par-hour a) 3 0 40-30 2. 3 0 4o (4o 30) yox1O 10-30 10 시 (ALA) 40(40-30) 30 18 3 0 48-30 2. 49 30) 900 48x18 Lg = 1.0417 1 al 48-30 μ(μ-λ) 30 43 (nt 8-30) la =0.0342

Add a comment

Answer 2

Similar Homework Help Questions

(d) Among all possible service-timé disiou fixed), the exponential distribution yields the largest value of 17.7-4....

(d) Among all possible service-timé disiou fixed), the exponential distribution yields the largest value of 17.7-4. Marsha operates an expresso stand. Customers arrive a cording to a Poisson process at a mean rate of 30 per hour. The time needed by Marsha to serve a customer has an exponential dis tribution with a mean of 75 seconds. (a) Use the MIG/I model to find L. Lg W, and Wa Suppose Marsha is replaced by an expresso vending machin that requires...
Roblem Consider a single server queueing system where the customers arrive according to a Poisson...

roblem Consider a single server queueing system where the customers arrive according to a Poisson process with a mean rate of 18 per hour, and the service time follows an exponential distribution with a mean of 3 minutes. (1). What is the probability that there are more than 3 customers in the system? (2). Compute L, Lq and L, (3). Compute W, W and W (4). Suppose that the mean arrival rate is 21 instead of 18, what is the...
Customers arrive at a service facility with one server according to a Poisson process with a...

Customers arrive at a service facility with one server according to a Poisson process with a rate of 5 per hour. The service time are i.i.d. exponential r.v.´s, and on the average, the server can serve 7 customers per hour. Suppose that the system is in the stationary regime. (a) What is the probability that at a particular time moment, there will be no queue? (b) What is the probability that a particular time moment, there will be more than...

QUESTION 1 Customers arrive at a hair salon according to a Poisson process with an average of 1...

QUESTION 1 Customers arrive at a hair salon according to a Poisson process with an average of 16 customers per hour. Which of the following is most likely true, based on this information: a. The hair salon serves customers on a walk-in basis (rather than by appointment times) b. If 10 customers arrive in the first hour, it is likely that 22 customers will arrive in the next hour. c. If the salon can serve an average of 20 customers...
Customers arrive at bank according to a Poisson process with rate 20 customers per hour. The bank...

Customers arrive at bank according to a Poisson process with rate 20 customers per hour. The bank lobby has enough space for 10 customers. When the lobby is full, an arriving customers goes to another branch and is lost. The bank manager assigns one teller to customer service as long as the number of customers in the lobby is 3 or less. She assigns two tellers if the number is more than 3 but less than 8. Otherwise she assigns...
Customers arrive at a bank according to a Poisson process having a rate of 2.42 customers...

Customers arrive at a bank according to a Poisson process having a rate of 2.42 customers per hour. Suppose we begin observing the bank at some point in time. What is the probability that 3 customers arrive in the first 1.8 hours? Customers arrive at a bank according to a Poisson process having a rate of 2.3 customers per hour. Suppose we begin observing the bank at some point in time. What is the expected value of the number of...

Customers arrive at a service facility according to a Poisson process with an average rate of 5 per hour.

9. Customers arrive at a service facility according to a Poisson process with an average rate of 5 per hour. Find (a) the probabilities that (G) during 6 hours no customers will arrive, (i) at most twenty five customers will arrive; (b) the probabilities that the waiting time between the third and the fourth customers will be (i) greater than 30 min.,(ii) equal to 30 min., (ii)i greater than or equal to 30 min. (c) the probability that after the first customer has...
A car wash has one automatic car wash machine. Cars arrive according to a Poisson process...

A car wash has one automatic car wash machine. Cars arrive according to a Poisson process at an average rate of 5 every 30 minutes. The car wash machine can serve customers according to a Poisson distribution with a mean of 0.25 cars per minute. What is the probability that there is no car waiting to be served?
Customers are arriving to a shop according to Poisson process with mean 3 customers/hour. What is...

Customers are arriving to a shop according to Poisson process with mean 3 customers/hour. What is the probability that only 5 customers will arrive next two hours?

customers arrive according to a Poisson process at rate λ > 0. Assume that service crew...

customers arrive according to a Poisson process at rate λ > 0. Assume that service crew start serving a service and it takes a fixed amount of time τ to serve. For t ≧ 0, let X(t) denote the number of customers being served at time t. What is the distribution of X(t)? What is E[X(t)]?

Problem 4. Marsha operates an expresso stand. Customers arrive according to a Poisson process at ...

Homework Answers

Add Answer to:
Problem 4. Marsha operates an expresso stand. Customers arrive according to a Poisson process at ...

Post as a guest

Earn Coins

(d) Among all possible service-timé disiou fixed), the exponential distribution yields the largest value of 17.7-4....

Roblem Consider a single server queueing system where the customers arrive according to a Poisson...

Customers arrive at a service facility with one server according to a Poisson process with a...

QUESTION 1 Customers arrive at a hair salon according to a Poisson process with an average of 1...

Customers arrive at bank according to a Poisson process with rate 20 customers per hour. The bank...

Customers arrive at a bank according to a Poisson process having a rate of 2.42 customers...

Customers arrive at a service facility according to a Poisson process with an average rate of 5 per hour.

A car wash has one automatic car wash machine. Cars arrive according to a Poisson process...

Customers are arriving to a shop according to Poisson process with mean 3 customers/hour. What is...

customers arrive according to a Poisson process at rate λ > 0. Assume that service crew...

Problem 4. Marsha operates an expresso stand. Customers arrive according to a Poisson process at ...

Homework Answers

Add Answer to: Problem 4. Marsha operates an expresso stand. Customers arrive according to a Poisson process at ...

Post as a guest

Earn Coins

Add Answer to:
Problem 4. Marsha operates an expresso stand. Customers arrive according to a Poisson process at ...