In a factory, billions nails are produced each week. The quality control group found that about 0.25% of the nails are defective A) In a box of 2000 nails, what is the probability that exactly 3 nails are defective? B) Use Poisson distribution to approximate the answer to part (a).

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 tricycle collisions that occur in Davao City is often modeled as a Poisson random…

A: Let X be the number of tricycle collisions that occur in Davao City which follows Poisson…

Q: The number of planes arriving per day at a small private airport is a random variable having a…

A: Given: X~P28.8

Q: A gas station has three pumps who receive cars independently of one another, each according to a…

A: Given dataA gas station has three pumps who receive cars independentlyof one another each according…

Q: An auto parts store sells 468 oil filters over 120 weeks. Use the Poisson distribution to find the…

A: Given information- We have given that store sells 468 oil filters over 120 weeks. We have given the…

Q: A survey conducted by the Consumer Reports National Research Center reported, among other things,…

A:

Q: Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α= 4 per…

A: The Poisson distribution is used to calculate the probability of getting r number of…

Q: The number of people that buy packages of Hostess Ding-Dongs at Walmart in one hour is Poisson…

A: Given: X~P(λ)λ=5

Q: An observer counts 360 veh/h at a specific highway location. Assuming that the arrival of vehicles…

A:

Q: What is the probability that there are less than 15 calls in two hours

A: Let X denote the number of calls arrive at call center in two hours.

Q: Wingard Credit Union is redesigning the entryway into its bank of ATM machines. Management is trying…

A: Management is trying to conceptually understand the interarrival of individuals, which has been…

Q: The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random…

A:

Q: Ten percent of the tools produced in a certain manufacturing process turn out to be defective. Find…

A: Ten percent of the tools produced in a certain manufacturing process turn out to be defective

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

A: Givenλ=7 customers will arrive per hour

Q: A survey found that0.07%  of the people in a city are infected by the COVID virus. If we randomly…

A:

Q: A short term insurance company receives five motor vehicle claims, on average, per day. Assume that…

A: Given that a short term insurance company receives five motor vehicle claims, on average, per day.…

Q: Assume that the number of phone calls that reach a specific phone center follow the Poisson rate at…

A: Let X be the number of calls received per second at the phone center. Then X~Pλ=5 Let Y be the…

Q: An airline observes that the number of components that fail before reaching 100 hours of operation…

A: Formula : poisson distribution is given by

Q: A public health officer is tracking down the source of a bacterial infection in a certain city. She…

A: Given: λ=3 The probability that a randomly chosen block has at least seven cases is obtained as…

Q: The number of telephone calls that arrive at a phone exchange is often modeled as a poisson random…

A: Probability distributions are of 2 types, discrete and continuous. Poisson distribution is a…

Q: A statistics professor finds that when he schedules an office hour at the​ 10:30 a.m. time​ slot, an…

A: Givenan average of three students arriveλ=3x~poisson(λ=3)P(X=x)=e-λ×λxx!  ; x≥0

Q: The number of messages sent to a computer bulletin board is a Poisson random variable with a mean of…

A:

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

A:

Q: According to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S.…

A: Let X be the no of emails received per hour. Given that the number of e-mails received per hour…

Q: In a certain lumberyard, a survey of 4950 linear feet of pine 4-in.x12-in. dimension lumber found…

A:

Q: The number of calls to a 24-hour service “hotline" follows a Poisson distribution with a mean of 2.5…

A: Given information: The number of calls to a 24-hour service "hotline" follows a Poisson distribution…

Q: Assume that the number of new visitors to a website in one hour is distributed as a Poisson random…

A:

Q: A new phone-answering system installed by a certain utility company is capable of handling ten calls…

A: The probability that in a 5-minute period more calls will arrive than the system can handle is…

Q: The number of times a printing press breaks down eachmonth is Poisson distributed with λ = 4. What…

A:

Q: a) What is the probability distribution of a variable measuring the number of workers retiring? b)…

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

Q: Suppose that an average of 10 customers per hous arrive at a shop according to a poisson procee.…

A:

Q: Assume that the number of new visitors to a website in one hour is distributed as a Poisson random…

A: Obtain the probability that in any given hour zero new visitors will arrive at the website The…

Q: A company reports that the number of breakdowns on its assembly line follows Poisson distribution…

A: Solution-: Given : λ=1 We want to find  (a) P(exactly one break down during 5 hours shift)=? (b)…

Q: A short-term insurance company receives three motor vehicle claims on average per day. Assume that…

A:

Q: On average, a J&T delivery rider can deliver 10 packages to their respective owners in one hour.…

A:

Q: A gas station has five pumps who receive cars independently of one another, each according to a…

A: It is given that an average of 10 cars will be received in an hour for each of the five pumps. So,…

Q: At a factory which produces hard drives, defective hard drives are produced according to a Poisson…

A:

Q: According to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S.…

A: It is known that, 1hour = 60 minutes. The mean number of emails during one hour is 5.

Q: On average, Nancy has noticed that 21 trucks pass by her apartment daily (24 hours). In order to…

A: It is given that 21 trucks will pass in 24 hours. Thus, in one-hour period average number of trucks…

Q: Advances in medical and technological innovations have led to the  availability of numerous medical…

A: A random sample of 100 females; n=100 20% of the female respondents had the highest experience;…

Q: In building materials laboratory, it has been observed that a failure proportion of concrete cubes…

A: The question is about prob. dist. Given : Failure prop. of concrete cubes ( p ) = 0.03 Total no. of…

Q: The average number of collisions in a week during the summer months at a particular intersection is…

A: Given: The average number of collisions in a week during the summer months at a particular…

Q: The owner of a tree farm specializes in growing pine trees. They are grown in rows of 50 trees and…

A:

Q: At a factory which produces hard drives, defective hard drives are produced according to a Poisson…

A: Given : At a factory which produces hard drives, defective hard drives are produced according to a…

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

A: a) Let us define the random variable X as the number of customers arriving per hour follows Poisson…

Q: The number of people arriving for treatment at an emergency room can be modeled by a Poisson process…

A: Given :  The number of people arriving for treatment at an emergency room can be modeled by a…

Q: What is the probability that three Poisson random independent variables A,B, C, with parameters 1,…

A:

Q: Suppose that during lean hours in a call center, the number of calls received during any specified…

A:

Q: A new​ phone-answering system installed by a certain utility company is capable of handling ten…

A:

Q: The number of telephone calls that arrive at a phone exchange is often modeled as a Poisson random…

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

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.