Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. Onweekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 36 customers per hour or 0.6 customers per minute.a. What is the mean or expected number of customers that will arrive in a five-minute period?per five minute periodb. Assume that the Poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part (a) and compute theprobabilities that exactly 0, 1, 2, and 3 customers will arrive during a five-minute period. If required, round your answers to four decimal places.A=X0123P(x)c. Delays are expected if more than three customers arrive during any five-minute period. What is the probability that delays will occur? If required,round your answer to four decimal places.P(Delay Problems) =

The random variable represents the number of customer arrivals during a minute period.The X takes…

Answered: Willow Brook National Bank operates a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Banko Bank opens a drive-thru window for customers to complete bank transactions without getting out of their cars. Arrivals occur at random, with an arrival rate of 30 customers per hour. a. What is the mean or expected number of customers that will arrive in a five- minute period? b. Assume that the Poisson probability distribution can be used to describe the arrival process. Compute:i. the probability that exactly 0 will arrive during a five-minute period ii. the probability that exactly 2 will arrive during a five-minute period c. Assume that the service times for the drive-thru window follow an exponential probability distribution with a service rate of 42 customers per hour. Use the exponential probability distribution to answer the following questions:i. What is the probability the service time is one minute or less?ii. What is the probability the service time is two minutes or less?
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Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 12 customers per hour or 0.2 customers per minute. What is the mean or expected number of customers that will arrive in a five-minute period?λ = ______ per five minute period Assume that the Poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1, 2, and 3 customers will arrive during a five-minute period. If required, round your answers to four decimal places. x P(x) 0 1 2 3 Delays are expected if more than three customers arrive during any five-minute period. What is the probability that delays will occur? If required, round your answer to four decimal places.P(Delay Problems) =
Show your complete solution.
A pizza parlour makes an average of 5.75 pizzas every 5 minutes during the dinner rush. What is the probability that the restaurant will make at least one pizza per minute during the dinner rush? Analyze the given scenario and complete the following: a. Determine which probability distribution should be used to model the scenario. Hypergeometric Geometric E Poisson SAMSUNG SUBMIT QUESTION SAVE PROGRESS SUBMIT
A university is considering setting up an information desk manned by one employee. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 18 per hour. It takes an average of 2 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed. What is the arrival rate? (Include the units.) What is the service rate? (Include the units.) Find the probability that the employee is idle.

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