An entrepreneur opened a small hardware store in a street mall. During the first few weeks, business was slow, with the store averaging only one customer arrived every 15 minutes. Assume that the random arrival of customers is Poisson distributed. What is the probability that at least two customers arrive during a one-hour period?

An entrepreneur opened a small hardware store in a street mall. During the first few weeks, business was slow, with the store averaging only one customer arrived every 15 minutes. Assume that the random arrival of customers is Poisson distributed. What is the probability that at least two customers arrive during a one-hour period?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: what is the probability that exactly one is a shutout?

A: The number of runs scored by a certain baseball team per game follows a Poisson distribution with A…

Q: probability that there will be exactly two accidents at the intersection during a week?

A: The number of accidents per day at a busy intersection has a Poisson distribution with mean 0.5…

Q: In 2018-2019 (i.e. a 104 week period) there were a total of 25 earthquakes of magnitude 7.0 or…

A: Given information: In 2018-2019 (i.e. a 104 week period) there were a total of 25 earthquakes of…

Q: Customers arrive at a café according to a Poisson process at the rate of one every three minutes.…

A: To solve these problems, we'll use the properties of the Poisson distribution. Let's define the…

Q: Human behavior can sometimes be modeled as a Poisson process. Suppose when you send a tweet on…

A: The probability shows how likely an event occurs.

Q: In a recent year, an author wrote178checks. Use the Poisson distribution to find the probability…

Q: In a recent year, a hospital had 4472 births. Find the mean number of births per day, then use…

Q: It is the manager's service goal to limit the waiting time prior to beginning the checkout process…

A: (a) Improved single-server operation with a service rate of 30 customers per hour: The arrival rate…

Q: A manufacturer of clothing knows that the probability of a snap flaw is 0.002 An inspector examines…

A: The objective of this question is to find the probability that an inspector finds no snap flaws in…

Q: a) List each possible outcomefor the colors of the shirts if two shirts are drawn randomly from the…

A: In question, Given that a dresser drawer has blue shirts, yellow shirts, red shirts, and green…

Q: In a recent year, an author wrote 188 checks. Use the Poisson distribution to find the probability…

A: Solution: Let X be the random variable that the number of check written in a year. The formula for…

Q: In a recent year, a hospital had 4350 births. Find the mean number of births per day, then use…

A: Given that, a hospital had 4350 births in a recent year Here, consider the year has non-leap year…

Q: . Find the probability that 5 patients present in the first hour b. What is the probability that the…

A: Here AS PER POLICY I HAVE CALCULATED 3 SUBPART

Q: Pete's Market is a small local grocery store with only one checkout counter. Assume that shoppers…

A: The average waiting time is in hours. Arrival rate λ=9 customers per hourservice rate μ=15 customers…

Q: The number of typing errors made by a typist has a Poisson distribution with an average of three and…

A: It is given that, the number of typing errors made by a typist has a Poisson distribution with an…

Q: What is the probability that at least 10 orders arrive in 30 seconds? What is the probability that…

Q: The number of people arriving per hour at the emergency room (ER) of a local hospital seeking…

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY Here Given The number of people…

Q: In a recent year, a hospital had 4384 births. Find the mean number of births per day, then use…

A: Given that, The hospital had 4384 births in a year The mean number of births per day is, Let X…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

At a toll-booth on-ramp there is a stochastic arrival distribution. Vehicles are counted in 20-second intervals, and vehicle counts are taken in 120 of these time intervals. Based on data collected, no vehicles arrived in 18 of the 120 count intervals. What is the number of the 120 intervals that 3 cars arrived?
In a recent year, a hospital had 4463 births. Find the mean number of births per day, then use that result and the Poisson distribution to find the probability that in a day there are 14 births. Does it appear likely that on any given day, there will be exactly 14 births?
In a recent year, a hospital had 4142 births. Find the mean number of births per day, then use that result and the Poisson distribution to find the probability that in a day, there are 13 births. Does it appear likely that on any given day, there will be exactly 13 births?
Pete's Market is a small local grocery store with only one checkout counter. Assume that shoppers arrive at the checkout lane according to a Poisson probability distribution, with an arrival rate of 20 customers per hour. The checkout service times follow an exponential probability distribution, with a service rate of 25 customers per hour. The manager’s service goal is to limit the waiting time prior to beginning the checkout process to no more than five minutes. Also the manager of Pete's Market wants to consider one of the following alternatives for improving service. Calculate the value of Wq for each alternative. Hire a second person to bag the groceries while the cash register operator is entering the cost data and collecting money from the customer. With this improved single-server operation, the service rate could be increased to 33 customers per hour. Round your answer to three decimal places. Do not round intermediate calculations.Wq = 2.797 minutes Hire a second person to…
The number of forklift topples in an area follows a poisson-process with rate 3 accidents per week. Suppose that we observed one forklift topple in the first week. What is the probability that we will observe at most one forklift topples in the next 2 days?
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 30 customers per hour or 0.5 customers per minute. Let's assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 45 customers per hour, or 0.75 customers per minute. Determine the following operating characteristics for the system. (Round your answers to four decimal places.) (a) The probability that no customers are in the system 1353 (b) The average number of customers waiting 1786 (c) The average number of customers in the system 1.25 (d) The average time (in min) a customer spends waiting 4.2 X min (e) The average time (in min) a customer spends in the system x min 1 (f) The probability that arriving customers will have to wait for service 73 X
In a recent year, an author wrote178checks. Use the Poisson distribution to find the probability that, on a randomly selected day, he wrote at least one check what is the probability SHARE