3. At the Direct cable system claim center, the reported service request usually follows Poisson distribution...
Requests for service in a service center follow a Poisson distribution with a mean of three per unit time. (a) What is the mean of time between two successive requests? (b) What is the probability that the time until the first request is less than 3 minutes? (c) What is the probability that the time between the second and third requests is greater than 5.5 time units? (d) Determine the mean rate of requests such that the probability is 0.8...
(EXPONENTIAL DISTRIBUTION) Customers arrive at the claims counter at the rate of 20 per hour (Poisson distributed). What is the probability that the arrival time between consecutive customers is less than five minutes? Hint: Compute P(X<5) 1-e after compute ] (3 pts.)
The number of requests for assistance received by a towing service is a Poisson process with rate ? = 4 per hour. a) If the operators take a 30 min break for lunch, what is the probability that they do not miss any calls for assistance? b) Assuming they work 10 total hours on a particular day. What is the probability that assist less than 30 people (consider and approximation to help you solve this part)? c) Calculate the average...
a hotel, time to process a client's request follows an exponential distribution with a mean of 2.5 minutes a. Find the probability that a given request takes more than 5 minutes to process. b. Find the probability that a given request takes less than 30 seconds to process. c. Find the probability that a given request takes between I and 2.5 minutes to process.
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...
The caller times at a customer service center has an exponential distribution with an average of 16 seconds. Find the probability that a randomly selected call time will be less than 60 seconds?
Question 2:(15 pts In a hotel, time to process a client's request follows an exponential distribution with a mean of 2.5 minutes. a. Find the probability that a given request takes more than 5 minutes to process. b. Find the probability that a given request takes less than 30 seconds to process. e. Find the probability that a given request takes between 1 and 2.5 minutes to process.
3. For a single-server, single-line, single-phase waiting line system, where l represents the mean arrival rate of customers and m represents the mean service rate, what is the formula for the average utilization of the system? a) l / m b) l / (m-l) c) l2 / m(m-l) d) 1 / (m-l) e) l / m(m-l) 4. For a single-server, single-line, single-phase waiting line system, where l represents the mean arrival rate of customers and m represents the mean service...
Reason arrivals poisson and time continuous - exp prob Mode 1 1. The time until the next arrival at a gas station is modeled as an exponential random with mean 2 minutes. An arrival occurred 30 seconds ago. Find the probability that the next arrival occurs within the next 3 minutes. X= Time until next assival xu Expoential prob. Model Find: p(x-3) = P( ) e mean = 2 minutes = Arrival 30 sec ago = Next arrival w/in 3...
1.The time required for an automotive center to complete the service oil change service on an automobile approximately follows a normal distribution, with a mean 19 minutes and a standard deviation of 3 minutes. a. The automotive center guarantees customers that the service will take no longer than 20 minutes. If it does take ionger, the customer will receive the service for half-price. What percent of customers recelve the service for half-price? b. If the automotive center does not want to give the...