An engineer counts 400 veh/hr at a specific highway location. Assuming that the vehicles arrive based on a poisson distribution, estimate the probabilities of having 0, 1, 2, 3, 4, and 5 or more vehicles arriving over a 20-second interval.

An engineer counts 400 veh/hr at a specific highway location. Assuming that the vehicles arrive based on a poisson distribution, estimate the probabilities of having 0, 1, 2, 3, 4, and 5 or more vehicles arriving over a 20-second interval.

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...

See similar textbooks

Related questions

Q: what is the probability that the 4th ghost appears more than 30 minutes after the 3rd ghost

A: Here given an old house in philadelphia is inhibited by a variety of ghosts. appearances occur in…

Q: (1) What is the mean for random variable X? (a) v2 (b) v3 (c) V5 (d) 5 (2) What is the standard…

A: { Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: calculate the probability that at least 27 seconds will elapse between any two jobs.

A: The average rate of job submissions in a busy computer center is 9 per minute. If it can be assumed…

Q: Find the probability that 7 cars will come to the car-washing facility during one day. Find the…

A: here given, An average of 8.5 cars come to the car-washing facility per day. Assume thatthe number…

Q: The number of purchases of artworks at a fine art gallery on a weekend day has a Poisson…

Q: Traffic volume count was carried out at a location on a two-lane two-way state highway and found to…

A: Given, Traffic volume count was carried out at a location that is found to be 1200 veh/hr. To find…

Q: The magnitudes of earthquakes recorded in region of North America can be modeled by an exponential…

Q: An individual can be either susceptible (S) or infected (1), the probability of infection for a…

Q: Vhat is the chance that it will rain 3 days in April next year? ver the course of 10 years, it was…

Q: The number of flaws in a certain type of lumber has a Poisson distribution with a rate of 0.5 per…

Q: The random variable x represents the number of emails a student receives on a day. Assume it has a…

Q: Suppose that the number of accidents occuring in an industrial plant is described by a Poisson…

Q: Suppose that the duration of a particular type of criminal trial is known to have a mean of 24 days…

A: Determine the distribution of ΣX. The distribution of ΣX is determined below as follows :

Q: A local restaurant employs Pete at the only operating counter. Pete takes on average 5 minutes to…

A: Given: Arrival rate λ = 2 customers per 15 minutes. λ = 8 customers per hour. Service time = 5…

Q: The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson…

A: Solution-: Let, X - be the number of accidents that occur in a year Given: X→P(3.5) If no accidents…

Q: wer the following questions, performing all computations using Excel functions. Compute the…

A: Let X be the person receives in their mail box parameter=λ=4.3 X~Pois(λ=4.3) (a) P(X=3)=? (b)…

Q: A professor from Transylvania University has developed a device which can be used to detect ghost…

A: Given information: Ghost appearances in the house follow a Poisson process. The average number of…

Q: The number of customers arriving at a teller’s window at Commercial Bank is Poisson distributed with…

A: (1) Obtain the probability of zero customers per minute. The probability of zero customers per…

Q: oday, the waves are crashing onto the beach every 6 seconds. The times from when a person arrives at…

A: 1. f(x)=16, 0<x<6 2. P(1.6<X<1.9)=∫1.61.9f(x)dx =∫1.61.916dx…

Q: A sample of 8 people participated in a low calorie weight loss program for 16 weeks. Each of the…

A: Given : 8 patients weight before and after participating in the 16-week weight loss program.

Q: The number of customers arriving per hour at certain automobile service facility is assumed to…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

Q: The number of tourists arriving in a certain tourist destination is assumed to follow a Poisson…

A: Givendaily mean rate of 500 λ=500x~Poisson(λ=500)P(X=x)=e-λ×λxx! ; x≥0

Q: The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson…

Q: The Poisson mass function is often used in biology to model the number of bacteria in a solution.…

A: The probability mass function (PMF) of a Poisson distribution for a random variable X with parameter…

Q: The number of cracks that need repair in a section of interstate highway follows a Poisson…

A: For a discrete random variable X ~P(m) the pmf is given as : P(X=x) = e-mmxx! , x=0,1,2,3,...…

Q: Traffic volume count was carried out at a location on a two-lane two-way state highway and found to…

A: Poisson distribution is a discrete probability distribution, with probability mass function,…

Q: For the case of the thin copper wire, suppose that the number of flaws follows a Poisson…

A: The probability mass function of the Poisson distribution is given by

Q: Males of a specific bird breed leave their nesting territory for gathering food. The females will…

A: Given, Males of a specific bird breed leave their nesting territory for gathering food. The females…

Q: An average of 9 cars come to the car-washing facility per day. Assume that the number of cars is…

Q: The arrival rate of cars at PC jewelers is 20 cars per hour. The service rate at PC jeweler shop is…

A: At PC jewelers shop,The arrival rate of cars per hourThe service rate of cars per hourThe…

Q: On average, 2.5 motor vehicle thefts occur each minute in a certain intersection. Use the normal…

Q: Cars arrive at a tollbooth at a mean rate of 36 cars every 9 minutes according to a Poisson process.…

A: As per our guidelines we can solve first three subpart and rest can be reposted. Solution-: We find,…

Q: The number of meteors found by a radar system in any 30-second interval under specified conditions…

A: The number of meteors found in any 30-second interval = 1.81 30 seconds = 0.5 minutes So, the…

Q: suppose the number of accidents occurring in a week on a particular strech of a highway follow a…

A: Answer: For the given data, Let X denote that the number of events occuring Here X follows Poisson…

Q: The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson…

A: Given that, the number of traffic accidents at a certain intersection is thought to be well modeled…

Q: Describe the distribution where radioactive particles are emitted at a poisson rate of 5 per second.…

A: From the given information, Consider, X is the random variable that represents the waiting time…

Q: The number of earthquakes per day in the world has a Poisson distribution with parameter ?= 55.…

A: Note:Hi there! Thank you for posting the question. As there are multiple sub parts, according to our…

Q: The average speeds of cars on a highway are distributed according to a normal distribution. Today,…

A: We are given here that the The average speeds of cars on a highway are distributed according to a…

Q: % of all cars fail the emissions inspection, find the probability that in a sample of 85 cars, 11…

A: Given,8% of all cars fail the emissions inspection, i.e. proportion(p)=0.08sample size(n)= 85To find…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

Question

An engineer counts 400 veh/hr at a specific highway location. Assuming that the vehicles
arrive based on a poisson distribution, estimate the probabilities of having 0, 1, 2, 3, 4, and 5 or
more vehicles arriving over a 20-second interval.

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: Given information

VIEW

Step 2: Finding probabilities

VIEW

Step 3: Finding probabilities

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 14 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

If the random variable x has a Poisson Distribution with mean μ = 3.95, find the probability that x = 16.
On average, Nancy has noticed that 21 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 1 truck will pass her apartment in a 2-hour time period using Poisson distribution, find the average number of trucks per 2 hours.
Use this information about the overhead reach distances of adult females: µ = 205.5 cm, σ = 8.6 cm, and overhead reach distances are normally distributed (based on data from th Federal Aviation Administration) If 40 adult females are randomly selected, find the probability that they have a mean overhead reach between 204.0 cm and 206.0 cm.
The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson process with a mean of 3 accidents per year. Find the probability that less than three months elapse between accidents.
A hot dog concession at Safeco Field sells an average of 54.67 hot dogs per hour (believed to follow a Poisson Distribution). How many hot dogs should the vendor stock in order to be 93% sure it has enough hot dogs for 1.5 hour(s)? F−1(0.93)=
An airport has 3 security lines, with each line capable of scanning 290 people per hour. People arrive in front of the security line at the rate of 850 per hour. Make the standard assumption of a Poisson distribution for arrivals and an exponential distribution for service times, and calculate the following: What is the probability that there are no people in the waiting line? Answer is NOT 0.02. What is the average length (number of people) in the waiting line? Answer is NOT 41.52.
An online advertisement is viewed 1.1 times per hour an average. The number of views per hour follows a Poisson distribution. Find the probability that the advertisement will be viewed more than 2 times in a randomly selected hour. (Provide your answer as a number between 0 and 1 rounded to 3 decimal places.)
An online advertisement is viewed 2.6 times per hour an average. The number of views per hour follows a Poisson distribution. Find the probability that the advertisement will be viewed more than 2 times in a randomly selected hour. (Provide your answer as a number between 0 and 1 rounded to 3 decimal places.)
Officer Thompson of the Bay Ridge Police Department works the graveyard shift. He averages 4.5calls per shift from this dispatcher. Assume the number of calls follows a Poisson distribution. Find theprobability that Officer Thompson get fewer than 2 calls in a shift.
On average, Nancy has noticed that 27 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 2 trucks will pass her apartment in a 4-hour time period using the Poisson distribution, find the average number of trucks per 4 hours. Round your answer to three decimal places, if necessary.
The random variable x represents the number of emails a student receives on a day. Assume it has a Poisson distribution with a mean of 14.3 emails. Find the probability that in a random day the student receives 3 emails. Round your answer to four decimal places.
The number of admissions per day at an emergency room has a Poisson distribution and its parameter is 5.Find the probability of I. At least 3 admissions per day II. At most 8 admissions per day.