In a factory, the machines break down and require service according to a Poisson distribution at the average of 4 per day. What is the probability that exactly 6 machines break down in 2 days? Seçtiğiniz cevabın işaretlendiğini görene kadar bekleyiniz. Soruyu boş bırakmak isterseniz işaretlediğiniz seçeneğe tekrar tıklayınız. 20,00 Puan

Q: An auto parts store sells 781 oil filters over 110 weeks. Use the Poisson distribution to find the…

A: poisson distribution is given by

Q: The arrival times of workers at a factory first-aid room satisfy a Poisson process with an average…

A: Let X be the random variable representing the arrival time of workers. Since it is a Poisson…

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A: Given information: μ=3 i)  x = 10 By applying poisons distribution:- P(x,μ)=e-μ(μx)x!

Q: Suppose that the number of telephone calls coming into a switchboard follows a Poisson process with…

A: Given: Mean number of calls per minute λ=10     Let X ~ Poi(10 ) P(X=x) =λx×e- λx!P(X=4)…

Q: The number of rescue calls received by a rescue squad in a city follows a Poisson distribution with…

A: Given Information Number of Rescue calls received follows a Poisson Distribution with µ = 2.83 per…

Q: It is known from the past experience that wrong-number calls are received by a switch-board at a…

A: Solution

Q: Suppose the number of motor vehicle fatalities in a city during a week is poisson distributed with a…

A: Given,A random variable X~Poisson(λ=8)P(X=x)=e-8 8xx!  ;    x≥0

Q: Assume the number of commuters using the QR code payment service at each MTR station follows a…

A: Given, λ=3 Let X denote the no. of commuters who use the QR code payment service in an hour.…

Q: A technology company uses the Poisson distribution to model the number of expected network failures…

A: As per our Guidelines we are suppose to answer only first three subpartsGivenon average there are 3…

Q: Assume the number of commuters using the QR code payment service at each MTR station follows a…

A: Given that, the commuters using the QR code payment service at each MTR station follows a Poisson…

Q: Four large batches of eggs are scheduled to be hatched in an incubator. Historical data suggests…

A:

Q: If electricity power failures occur in a particular industry according to Poisson distribution with…

A: The mean is 15 so m=15 The Poisson distribution is given by: PX=r=15re-15r!

Q: Suppose that the number of incoming phone calls to a telephone switchboard Poisson distribution with…

A: As per given by the question, find the probability that the telephone switchboard will received at…

Q: If a real estate office sells 1.6 houses on a typical weekday and sales of houses on weekdays are…

A:

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: number of traffic accidents that occur on a particular stretch of road during a month follows a…

A: Provided data is, the number of traffic accidents that occur on a particular stretch of road during…

Q: A subscription-based company is interesting in learning about the number of accounts that sign up…

A: Given, A subscription-based company is interesting in learning about the number of accounts that…

Q: If a real estate office sells 1.6 houses on an average weekday and sales of houses on weekdays are…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

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

A: Solution: Note: Hello! As you have posted 2 different questions, we are answering the first question…

Q: 1. Suppose that an average of 10 customers per hour arrive at a shop according to a Poisson process.…

A: 1) X denotes waiting time in minutes until the first customer arrives and note that λ=1060=16 is the…

Q: Suppose that the counts recorded by a Geiger counter follow a Poisson process with an average of two…

A: Given : average of two counts per minute is same as the waiting time of 30 second per count

Q: If 8% of trees in a town are elm, find the probability that in a sample of 100 trees, exactly 6 are…

A: Given: The proportion of elm trees is p=0.08. Let n represents the sample number of trees (n=100).…

Q: If a real estate office sells 1.6 houses on an average weekday and sales of houses on weekdays are…

A: Poisson distribution

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: conduct a survey to measure satisfaction regarding online learning. The following table contains a…

A: The total population size N = 4500 A sample of size n = 250 is to be drawn from the population.

Q: 2. Willow Brook National Bank operates a drive-up teller window that allows customers to complete…

A: The Poisson probability distribution with an arrival rate of 24 customer per hour or 0.4 customer…

Q: A process that polishes a mirrored surface leaves an average of 2 small flaws per 5 m² of surface.…

A:

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

A:

Q: An installation technician for a specialized communication system is dispatched to a city only when…

A: Solution  To calculate the probability we will use exponential distribution.

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A:

Q: When three or more orders are placed, one (1) technical expert from PLDT, the country's broadband…

A:

Q: The number of calls made by a telemarketer follows a Poisson distribution with a mean of 2 calls in…

A: Poisson pmf with rate lambda= 6

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

A:

Q: certain province, the expected number of voters for BBL is 15 per 50 m radius. Assuming the data…

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

A:

Q: An auto parts store sells an average of 8.3 oil filters per week. Use the Poisson distribution to…

A: Given that average = 8.3 ,p( x = 6 ) = ?

Q: If a real estate office sells 1.6 houses on an average weekday and sales of houses on weekdays are…

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

Q: a. Ecobank Ghana has recently examined the credit card account balances of its customers and found…

A: Please note that as per our guidelines if multiple questions are posted we can answer the first…

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

A:

Q: The number of arrivals per hour at an automated teller machine is poisson distribututed with a mean…

A: Given Information Number of arrivals per hour at an automated teller machine is Poisson distributed…

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: what is the probability that at least 8 machines will be defective over a 2 hour period?

A: here given, company knows that the average number of defective machines manufactured in an hour is…

Q: 2. Willow Brook National Bank operates a drive-up teller window that allows customers to complete…

A: Given: The arrivals to the drive-up teller window follows Poisson probability distribution with…

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

A: Let 'X' be the no of meters found by a radar system .given , the average meters found in 30…

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

A:

Q: Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank…

A: AS PER POLICY I SHOULD HAVE TO CALCULATE FIRST 3 SUBPART ONLY EVEN THOUGH I HAVE CALCULATED 4 Here…

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.