A telephone company's goal is to have no more than 4 monthly line failures on any 100 miles of line. The company currently experiences an average of 4 monthly line failures per 50 miles of line. Let x denote the number of monthly line failures per 100 miles of line. Assuming x has a Poisson distribution: (a) Find the probability that the company will meet its goal on a particular 100 miles of line. (Do not round intermediate calculations. Round final answer to 4 decimal places.) Probability (b) Find the probability that the company will not meet its goal on a particular 100 miles of line. (Do not round intermediate calculations. Round final answer to 4 decimal places.) Probability

Q: Consider writing onto a computer disk and then sending it through a certifier that counts the number…

A: Givenμ=λ=0.3x~Poisson(λ=0.3)P(X=x)=e-λ*λxx! ; x≥0

Q: On the average, a grocer sells three of a certain article per week. Howmany of these should he have…

A: P(x:μ)=e-λλxx!   P(X>k)<0.01P(X≤k)<0.09

Q: The number of flaws in bolts of cloth in textile manufacturing is assumed to be Poisson distributed…

A:

Q: A newsstand has ordered seven copies of a certain issue of a photography magazine. Let X = the…

A: Given information: It is given that, a newsstand has ordered 7 copies of a certain issue of a…

Q: (b) The number of customers who patronise a coffee shop follows a Poisson distribution with a mean…

A:

Q: On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail…

A: Given that on average you receive 2.6 pieces of junk mail a day.  And the number of pieces of junk…

Q: The number of gamma rays emitted per second by a certain radioactive substance is a random variable…

A: Given information Number of gamma rays follows Poisson distribution with parameter  λ = 6.3

Q: On Monday mornings, customers arrive at the coffee shop drive thru at the rate of 6 cars per fifteen…

A: Given that, Customers arrive at the coffee shop drive thru at the rate of 6 cars per fifteen minute…

Q: 13. Cars arrive at a petrol station at an average rate of 48 per hour. Assuming that the number of…

A:

Q: The number of flaws in a certain type of lumber follows a Poisson distribution with a rate of 0.45…

A: a. Find the probability that a board 3 meters in length has no flaws. It is given that the number of…

Q: Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain…

A: Givenλ=7.9 per yearx~Poisson(λ=7.9)P(X=x)=e-λ×λxx!  ; x≥0

Q: Find the probability​ that, in a​ year, there will be 5 hurricanes. b. In a 55​-year period, how…

A: Given : Poisson distribution applies with the mean number of hurricanes in a certain area is 7.4 per…

Q: For the past 106​ years, a certain state suffered 25 direct hits from major​ (category 3 to​ 5)…

A: For the given data Find What is the probability that the state will be hit by at least two major…

Q: Cars arriving for petrol at a particular petrol station follow a Poisson distribution with a mean of…

A: Introduction:  Poisson Distribution: Poisson distribution is the discrete probability distribution.…

Q: The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson…

A:

Q: CameraWorld estimates that the demand for the camera follows a Poisson distribution with a mean of…

A: Let X be the demand for the camera. Given that X follows Poisson distribution with mean 15 cameras.…

Q: During business hours, the number of calls passing through a particular cellular rellay system…

A:

Q: A church opens at 8:00am on Sunday. The number of visitors entering the church in a minute follows a…

A: Given: The number of visitors entering the church in a minute follows a Poisson distribution with…

Q: Given the binomial experiment with n=100 trials and probability of success on a single trial p=0.06,…

A: We have to find given probability.

Q: An internal study by the information technology department at a company revealed company employees…

A:

Q: The number of road construction projects that take place at any one time in a certain city follows a…

A: Introduction: If X ~ Poisson (λ), where λ is he rate of occurrence of the event of interest in a…

Q: The number of bacteria colonies of a certain type in samples of polluted water has a Poisson…

A:

Q: The number of arrivals at a local petrol station between 3:00 and 5:00pm has a Poisson distribution…

A: X~ Poisson(λ=12)

Q: Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain…

A:

Q: The number of requests for assistance received by a towing service is a Poisson process with rate a…

A:

Q: ** (a) In a certain competitive examination, a candidate commits an average of i error in every 25…

A: Instruction : "Answer a,"   Given : The candidate on average commits 1 error in every 25 questions…

Q: The maintenance department of a university receives requests for replacement light bulbs at a rate…

A: Let X be the number of requests for light bulbs follows Poisson distribution with rate of 2.4 per…

Q: The number of requests for assistance received by a towing service is a Poisson process with a rate…

A: Given that , The number of requests for assistance received by a towing service is a Poisson process…

Q: An insurance company has a toll-free phone number available from 10 a.m. to 6 p.m. every day, for…

A: Given information The average calls received per minute = 0.2. Let X be the random variable denoting…

Q: A retail store aimed to reduce the number of bad checks cashed by its cashiers. The store's goal is…

A:

Q: Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain…

A: (a) The mean number of hurricanes in a certain area is 7.7 per year. Given the mean number of…

Q: The number of customers entering a 24-hour convenience store every 10-minutes can be modeled by the…

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

Q: Consider writing onto a computer disk and then sending it through a certifier that counts the number…

A:

Q: Consider writing onto a computer disk and then sending it through a certifier that counts the number…

A:

Q: On Monday mornings, customers arrive at the coffee shop drive thru at the rate of 6 cars per…

A: Given: Average number of cars for 15 minute interval=λ=6,Number of occurrences=x=5.

Q: od truck serves lunch every weekday. Suppose each academic year has 160 weekdays, and the number of…

A: X representing the number of customers per day follows a Poisson distribution with a parameter 80.…

Q: The number of earthquakes in a certain region of California during a 6 month period has a Poisson…

A:

Q: The number of defective parts produced per shift can be modeled using a random variable that has the…

A:

Q: A number of students who seek assistance with their statistics assignments is Poisson distributed…

A: Poisson distributed with a mean of 3.25 per day; λ=3.25

Q: The number of road construction projects that take place at any one time in a certain city follows a…

A:

Q: a mail-order company receives an average of five orders per 500 solicitations. If it sends out 100…

A: It is given that five orders per 500 solicitations received by a mail-order company.

Q: The number of telephone calls at a call center follows a Poisson distribution. Assume that on…

A: 1) It is given that the mean is 10 calls per hour.

Q: Consider writing onto computer disk and then sending it through a certifier that counts the number…

A:

Q: Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain…

A: According to the scenario, the Poisson distribution applies. The mean number of hurricanes in a…

Q: The number of houses sold by an estate agent follows a Poisson distribution, with a mean of 2 per…

A: Given Mean= 2 / week For 4 weeks

Q: Q3. Arrivals of oil tankers at a port are distributed according to a Poisson distribution with a…

A: Given,The mean no.of oil tankers arrive per 12 hours(λ)=5A random variable…

Q: (a) What is the probability that there will be no bankruptcy filings during a given week? (Round…

A: From provided information, the number of bankruptcies filled in district court has poisson…

Q: If electricity power failures occur to a Poisson distribution with an average of three failures…

A:

Q: Steve Burns, host of the first season of Blue' clues recently bids goodbye to the show. Assuming…

A:

Q: Use the Poisson distribution to find the indicated probabilities Deaths from Horse Kicks A classical…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.