Customers arrive randomly at a gas station at the average rate of 30 per hour, while...
Customers arrive randomly at a gas station at the average rate of 30 per hour, while attendants can handle transactions on an average time of 5 minutes each (with exponential distribution). If a clerk cost is $15 per hour and customer waiting time represents a cost of $10 per hour, how many clerks can be justified on a cost basis?
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Customers arrive randomly at a gas station at the average rate
of 30 per hour, while...
During the early morning hours, customers arrive at a branch post office at an average of...
During the early morning hours, customers arrive at a branch post office at an average of 1.5 minutes per customer (Poisson), while clerks can handle transactions in an average time (exponential) of 3 minutes each. Please find the following: (Please keep five decimal points). a. The average time of customers waiting for service if three clerks are used (provide your answer in minutes). b. If four clerks are used, how much will customer waiting time be reduced (in minutes)?
1. During the early morning hours, customers arrive at a branch post office at an average...
1. During the early morning hours, customers arrive at a branch post office at an average of 1.5 minutes per customer (Poisson), while clerks can handle transactions in an average time (exponential) of 3 minutes each. Please find the following: (Please keep five decimal points). a. The average time of customers waiting for service if three clerks are used (provide your answer in minutes). b. If four clerks are used, how much will customer waiting time be reduced in minutes)?
1. During the early morning hours, customers arrive at a branch post office at an average...
1. During the early morning hours, customers arrive at a branch post office at an average of 1.5 minutes per customer (Poisson). while clerks can handle transactions in an average time (exponential) of 3 minutes each. Please find the following: (Please keep five decimal points) a The average time of customers waiting for service if three clerks are used (provide your answer in minutes). b. If four clerks are used, how much will customer waiting time be reduced (in minutes)?
1. During the early morning hours, customers arrive at a branch post office at an average...
1. During the early morning hours, customers arrive at a branch post office at an average of 1.5 minutes per customer (Poisson while clerks can handle transactions in an average time (exponential) of 3 minutes each. Please find the following: (Please keep five decimal points). a. The average time of customers waiting for service if three clerks are used (provide your answer in minutes). b. If four clerks are used, how much will customer waiting time be reduced (in minutes)?
1. During the early moming hours, customers arrive at a branch post office at an average...
1. During the early moming hours, customers arrive at a branch post office at an average of 1.5 minutes per customer (Poisson), while clerks can handle transactions in an average time (exponential) of 3 minutes each. Please find the following: (Please keep five decimal points) a. The average time of customers waiting for service if three clerks are used (provide your answer in minutes). a=1.5 r 1.5 3.50000 u=3min. b. If four clerks are used, how much will customer waiting...
During the early morning hours, customers arrive at a branch post office at an average rate...
During the early morning hours, customers arrive at a branch post office at an average rate of 45 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 4 minutes each. For 5 clerks, what is the service rate (mu)?
Customers arrive at a local ATM at an average rate of 15 per hour. Assume the...
Customers arrive at a local ATM at an average rate of 15 per hour. Assume the time between arrivals follows the exponential probability distribution. Determine the probability that the next customer will arrive in the following time frames. a) What is the probability that the next customer will arrive within the next 5 minutes? b) What is the probability that the next customer will arrive in more than 8 minutes? c) What is the probability that the next customer will...
Customers arrive at Rich Dunn's Styling Shop at a rate of 2 per hour, distributed in...
Customers arrive at Rich Dunn's Styling Shop at a rate of 2 per hour, distributed in a Poisson fashion. Service times follow a negative exponential distribution, and Rich can perform an average of 5 haircuts per hour. customers (round your response to two decimal places). a) The average number of customers waiting for haircuts = customers (round your response to two decimal places). b) The average number of customers in the shop = c) The average time a customer waits...
Customers arrive at a gas station with the rate λ = 4 per hour. The station...
Customers arrive at a gas station with the rate λ = 4 per hour. The station operates for 12 hours, from 7 AM 7 PM 1. Find the probability of having at least one customer from noon to 3 PM 2. Find the conditional probability that after 2 hours since the station was open, there will be at least three customers, given that exactly one customer arrived by the end of the first hour
customers arrive at an average of 30 per hour. A single server in the store serves...
customers arrive at an average of 30 per hour. A single server in the store serves customers, taking 1.5 minutes on average to serve each customer. Inter-arrival times and service times follow the exponential distribution. What is the expected fraction of time that the server will be busy? On average, how many people will there be in the store? On average, how long will someone be in the store? What is the probability that there will be more than 2...
1. During the early morning hours, customers arrive at a branch post office at an average of 1.5 minutes per customer (Poisson), while clerks can handle transactions in an average time (exponential) of 3 minutes each. Please find the following: (Please keep five decimal points). a. The average time of customers waiting for service if three clerks are used (provide your answer in minutes). b. If four clerks are used, how much will customer waiting time be reduced in minutes)?
1. During the early morning hours, customers arrive at a branch post office at an average of 1.5 minutes per customer (Poisson). while clerks can handle transactions in an average time (exponential) of 3 minutes each. Please find the following: (Please keep five decimal points) a The average time of customers waiting for service if three clerks are used (provide your answer in minutes). b. If four clerks are used, how much will customer waiting time be reduced (in minutes)?
1. During the early morning hours, customers arrive at a branch post office at an average of 1.5 minutes per customer (Poisson while clerks can handle transactions in an average time (exponential) of 3 minutes each. Please find the following: (Please keep five decimal points). a. The average time of customers waiting for service if three clerks are used (provide your answer in minutes). b. If four clerks are used, how much will customer waiting time be reduced (in minutes)?
1. During the early moming hours, customers arrive at a branch post office at an average of 1.5 minutes per customer (Poisson), while clerks can handle transactions in an average time (exponential) of 3 minutes each. Please find the following: (Please keep five decimal points) a. The average time of customers waiting for service if three clerks are used (provide your answer in minutes). a=1.5 r 1.5 3.50000 u=3min. b. If four clerks are used, how much will customer waiting...
Customers arrive at Rich Dunn's Styling Shop at a rate of 2 per hour, distributed in a Poisson fashion. Service times follow a negative exponential distribution, and Rich can perform an average of 5 haircuts per hour. customers (round your response to two decimal places). a) The average number of customers waiting for haircuts = customers (round your response to two decimal places). b) The average number of customers in the shop = c) The average time a customer waits...
Customers arrive at a gas station with the rate λ = 4 per hour. The station operates for 12 hours, from 7 AM 7 PM 1. Find the probability of having at least one customer from noon to 3 PM 2. Find the conditional probability that after 2 hours since the station was open, there will be at least three customers, given that exactly one customer arrived by the end of the first hour
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