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An internet service provider uses 100 modems to serve the needs of 1000 customers. It is...
An Internet service provider company has installed a modem to serve the needs of 1 customer in an...
An Internet service provider company has installed a modem to serve the needs of 1 customer in an arbitrary region Suppose that once a connection service is requested by a customer, one unassigned modem must be immediately assigned to the customer or the request will be denied At each time period, a customer may request for a connection service with a probability of 0.7 a. What is the probability distribution of a customer request for a connection? It suffices to...
Most internet service provider (ISPs) attempt to provide a large enough service so that customers seldom...
Most internet service provider (ISPs) attempt to provide a large enough service so that customers seldom encounter a busy signal. Suppose that the customers of one ISP encounter busy signals 4% of the time. During the week a customer of this ISP called 25 times. What is the probability that she encountered at lease one busy signal? This is from a midterm and i answered 0.3754 and got it wrong, if you could answer and show work it would be...
A survey is carried out to study the number of hours, X, per day spent on using the Internet by the customers of an Internet Service Provider (ISP). Responses from 15 randomly selected customers give the following data:
A survey is carried out to study the number of hours, X, per day spent on using the Internet by the customers of an Internet Service Provider (ISP). Responses from 15 randomly selected customers give the following data:3 2 5 6 1 5 3 4 5 2 4 5 9 5 1(a) Determine the mean and variance of the data set. (b) Is there an outlier in the data set? Justify your answer. (c) Suppose a selected customer is found to spend...
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. The Security& Trust Bank employs 4 tellers to serve its customers. Customers arrive ac-...
Problem 4. The Security& Trust Bank employs 4 tellers to serve its customers. Customers arrive ac- cording to a Poisson process at a mean rate of 4 per minute. However, business is growing and management projects that the mean arrival rate will be 6 per minute a year from now. The transaction time between the teller and customer has an exponential distribution with a mean of 0.5 minute. Management has established the following guidelines for a satis- factory level of...
Problem 4. The Security & Trust Bank employs 4 tellers to serve its customers. Customers arrive a...
Problem 4. The Security & Trust Bank employs 4 tellers to serve its customers. Customers arrive ac cording to a Poisson process at a mean rate of 4 per minute. However, business is growing and management projects that the mean arrival rate will be 6 per minute a year from now. The transaction time between the teller and customer has an exponential distribution with a mean of 0.5 minute. Management has established the following guidelines for a satis- factory level...
Customers arrive at a service facility according to a Poisson process of rate 5/hour. Let N(t)...
Customers arrive at a service facility according to a Poisson process of rate 5/hour. Let N(t) be the number of customers that have arrived up to time t (t hours) a. What is the probability that there is at least 2 customer walked in 30 mins? b. If there was no customer in the first 30 minutes, what is the probability that you have to wait in total of more than 1 hours for the 1st customer to show up?...
An Internet service provider offers four subscription packages to its customers, plus a discount for nonprofit...
An Internet service provider offers four subscription packages to its customers, plus a discount for nonprofit organizations: Package A: 10 hours of access for $12.95 per month. Additional hours are $4.00 per hour. Package B: 20 hours of access for $14.95 per month. Additional hours are $2.00 per hour. Package C: 30 hours of access for $20 per month. Additional hours are $1.00 per hour. Package D: Unlimited access for $35.95 per month. A nonprofit organizations will get 20% discount...
1) A fast-food franchise is considering opening a drive-up window food service operation. Assume that customer...
1) A fast-food franchise is considering opening a drive-up window food service operation. Assume that customer arrivals follow a Poisson distribution ( interarrival times follow an exponential distribution), with a mean arrival rate of 24 cars per hour, and that service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive up to the service window to pay for and receive their order. The following four...
Really need helps! Thanks! 2. Customers arrive to a coffee cart according to a Poisson process...
Really need helps! Thanks!
2. Customers arrive to a coffee cart according to a Poisson process with constant rate 12 per hour. Each customer is served by a single server and this takes an exponentially-distributed amount of time with mean 2 minutes irrespective of ev- erything else. When the coffee cart opens for service, there are already 7 people waiting. Denote by X = (X+,t> 0) the number of people waiting or in service at the coffee cart t hours...
An Internet service provider company has installed a modem to serve the needs of 1 customer in an arbitrary region Suppose that once a connection service is requested by a customer, one unassigned modem must be immediately assigned to the customer or the request will be denied At each time period, a customer may request for a connection service with a probability of 0.7 a. What is the probability distribution of a customer request for a connection? It suffices to...
Problem 4. The Security& Trust Bank employs 4 tellers to serve its customers. Customers arrive ac- cording to a Poisson process at a mean rate of 4 per minute. However, business is growing and management projects that the mean arrival rate will be 6 per minute a year from now. The transaction time between the teller and customer has an exponential distribution with a mean of 0.5 minute. Management has established the following guidelines for a satis- factory level of...
Problem 4. The Security & Trust Bank employs 4 tellers to serve its customers. Customers arrive ac cording to a Poisson process at a mean rate of 4 per minute. However, business is growing and management projects that the mean arrival rate will be 6 per minute a year from now. The transaction time between the teller and customer has an exponential distribution with a mean of 0.5 minute. Management has established the following guidelines for a satis- factory level...
Customers arrive at a service facility according to a Poisson process of rate 5/hour. Let N(t) be the number of customers that have arrived up to time t (t hours) a. What is the probability that there is at least 2 customer walked in 30 mins? b. If there was no customer in the first 30 minutes, what is the probability that you have to wait in total of more than 1 hours for the 1st customer to show up?...
An Internet service provider offers four subscription packages to its customers, plus a discount for nonprofit organizations: Package A: 10 hours of access for $12.95 per month. Additional hours are $4.00 per hour. Package B: 20 hours of access for $14.95 per month. Additional hours are $2.00 per hour. Package C: 30 hours of access for $20 per month. Additional hours are $1.00 per hour. Package D: Unlimited access for $35.95 per month. A nonprofit organizations will get 20% discount...
1) A fast-food franchise is considering opening a drive-up window food service operation. Assume that customer arrivals follow a Poisson distribution ( interarrival times follow an exponential distribution), with a mean arrival rate of 24 cars per hour, and that service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive up to the service window to pay for and receive their order. The following four...
Really need helps! Thanks!
2. Customers arrive to a coffee cart according to a Poisson process with constant rate 12 per hour. Each customer is served by a single server and this takes an exponentially-distributed amount of time with mean 2 minutes irrespective of ev- erything else. When the coffee cart opens for service, there are already 7 people waiting. Denote by X = (X+,t> 0) the number of people waiting or in service at the coffee cart t hours...
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