The amount of time that a drive-through bank teller spends on a customer is a random...
ft) The amount of time a bank teller spends on a customer is a random variable with mean u 3.2 min and standard deviation 1.6 min. If a random sample of 64 customers is observed, find the probability that their mean time at the teller's counter is (i) at most 2.7 mirn (ii) more than 3.5 min (iii) at least 3.2 min but less than 3.4 min (iv) find the mean time interval spent by the middle 80% of the...
The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean u = 7.9 minutes and a standard deviation o = 3.6 minutes. If a random sample of 81 customers is observed, find the probability that their mean time at the teller's window is (a) at most 7.3 minutes; (b) more than 8.7 minutes; (c) at least 7.9 minutes but less than 8.3 minutes. Click here to view page 1 of...
A random sample of 64 customers at a drive-through bank window is observed, and it is found that the teller spends an average of 2.8 minutes with each customer, with a standard deviation of 1.2 minutes. Find a 93% confidence interval for the true mean time that this teller takes with her customers.
The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. Suppose that a random sample of n-49 independent customers is observed. Find the approximate probability that the average time waiting in line for these customers is (a) Greater than 10 minutes (b) Between 6 and 10 minutes (c) Less than 6 minutes
7. The Canara Bank drive-thru teller window can serve a customer at an average of 4 minutes per customer. Service time has a negative exponential distribution. Customers arrive in their cars at a rate (Poisson distributed) of 12 per hour and form a single waiting line: a. Determine the average waiting time, the average queue length, and the probability that there is no customer in the system. b. If Canara Bank decides to open a second drive-thru teller window with...
A bank has one drive-up teller. The teller can serve at the rate of 11.2 bank customer in an hour. Customers arrive at the drive-up window on an average every 7.5 minutes. The bank is currently analyzing the possibility of adding a second drive-up window at an annual cost of $20,000. It is assumed that arriving cars would be equally divided between both windows. It is estimated that each minute’s reduction in customer waiting time would increase the bank’s revenue...
After a repeated observation, it has been determined that the waiting time at the drive through window of a local bank is skewed left, with a mean of 3.5 minutes and a standard deviation of 1.9 minutes. a random sample of 100 customers is to be taken. What is the probability that the mean of the sample will exceed 4 minutes? show calculation
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 5 minutes. A) What is the probability that more than three customers arrive in 10 minutes? B) What is the probability that the time until the 6th customer arrives is less than 5 minutes?
The time it takes a bank teller to serve a customer is uniformly distributed between 2 and 6 minutes. A customer has just stepped up to the window, and you are next in line. a. What is the expected time you will wait before it is your turn to be served? b. What is the probability that you wait less than 1 minute before being served? c. What is the probability that you wait between 3 and 5 minutes before...
Please answer using stochastic operations principles Cars arrive at a rate of 10 per hour in a single-server drive-in restaurant. Assume that the teller serves vehicles with a rate exponentially distributed with a mean of 4 minutes per car (ie, a rate of 1 car every 4 minutes). Answer the following questions: (a) What is the probability that the teller is idle? (b) What is the average number of cars waiting in line for the teller? (A car that is...