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)?
On average, 90 patrons per hour arrive at a hotel lobby (interarrival times are exponential) waiting...
On average, 90 patrons per hour arrive at a hotel lobby (interarrival times are exponential) waiting to check in. At present there are five clerks, and the patrons wait in a single line for the first available clerk. The average time for a clerk to service a patron is 3 minutes (exponentially distributed). Clerks earn $10 per hour, and the hotel assesses a waiting time cost of $20 for each hour a patron waits in line. The hotel is considering...
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
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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