For Monday through Thursday when there isn't a holiday, the average number of vehicles that visit a particular retailer between 2pm and 3pm each afternoon is 6.5, and the number of cars that show up on any given day follows a Poisson distribution. Round to 2 decimal places. Suppose there is an average of 9 minutes between arrivals of vehicles. What is the probability that the retailer waits more than 20 minutes for the next vehicle to arrive? What is the probability that the retailer waits between 10 and 20 minutes for the next vehicle to arrive?

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

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Q: A local police station claims that the number of patrols passing through a particular area within…

A: Given that, X~ Poisson (lembda) Where parameter lembda =3 P.d.f. of Poisson distribution,…

Q: It is known from past experience that in a certain plant there are on the average 4 industrial…

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

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

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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: 2. A lumber inspector has found that the face of 2 by 8's lumber produced at her mill averages 4…

A: Formula : poisson distribution is given by

Q: (a) On average, a clinic receives eight patients in 20 minutes. Assume that the number of patients…

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION    A) here for poisson process…

Q: The WSS Company has one repairman who services 80 machines in their shop and repairs machines that…

A: Given Let X denote the number of machines the repairman fix in a day. X~P(λ) Average breakdown is λ=…

Q: In an airport, average number of flights departed is 5 per hour. The number of airplanes departed…

A: Let us assume X=the number of flights departed X follows a Poisson distribution with mean=5

Q: One of the earliest applications of the Poisson distribution was in analyzing incoming calls to a…

A: The probability mass function of Poisson distribution is given as follows: (a) The required…

Q: the number of accidents in a production facility has a poisson distribution with a kean 2.7 per…

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

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Q: what is the probability that the state will not be hit by any major hurricanes in a single year?…

A: Given,  30 hits in 108 years  expected no. of hits per year λ=30108…

Q: The sales of Lexus automobiles in the Detroit area follow a Poisson distribution with a mean of…

A: (a) Obtain the probability that no Lexus is sold on a particular day. The probability that no Lexus…

Q: Akosua works as the customer service officer at the Agarwal Eye Clinic located in Tesano, a suburb…

A: It is given that the mean of the Poisson distribution is 2.6.

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

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Q: Prisoners. From the U.S. Census Bureau and the article “U.S. Prison Population Falls for Third Year”…

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Q: In the study of a certain aquatic organism, a large number of samples were taken from a pond, and…

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Q: In a recent​ year, a hospital had 4182 births. Find the mean number of births per​ day, then use…

A: Given information- A hospital had 4182 births in a year. Since it is the Poisson distribution. A)…

Q: An intenal study by the Technology Services department at Lahey Electronics revealed company…

A: a. Consider a random variable X which, follows Poisson distribution, indicates number of non-work…

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

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

A: Let the random variable x denote the number of motor-vehicle fatalities in a city during a week.…

Q: probability of delivering 0 baby each night can be calculated using the Poisson distribution

A: here given , The average number of deliveries per night is 1000/365, which is 2.74 so λ = 2.74…

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.

Q: The number of accidents that occur at a busy intersection is Poisson distributed, with a mean of 3.5…

A: (a) Obtain the probability of no accidents in one week. The probability of no accidents in one week…

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

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

A: The probability mass function is given as P(X=x)=λxe-λx!       x=0,1,... Here, mean is given 7.4,…

Q: a. Find the probability that, in a year, there will be 4 hurricanes. b. In a 55-year period, how…

A: Here given no of hurricane occurring follow poisson process

Q: In a recent year, a hospital had 4463 births. Find the mean number of births per day, then use that…

A: In a recent year, a hospital had 4463 births.

Q: An internal study by the Technology Services department at Lahey Electronics revealed company…

A: Given K=2 Lamda =6

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

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

Q: n an office, assume the number of arriving telephone calls has a Poisson distribution with an…

A: λ = 10 ,

Q: Chu (2003) studied the number of goals scored during the 232 World Cup soccer games played from 1990…

A: (a) The average number of goals scored in a 90-minute soccer game was 2.5. Assuming this average…

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: 14. The average number of cars which stop at a petrol station is 36 per hour. By assuming that the…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: On an average, a household receives 9.5 telemarketing phone calls per week. Using the poisson…

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Q: In a recent​ year, a hospital had 4275 births. Find the mean number of births per​ day, then use…

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

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Q: On the average, an online seller receives 10 orders per day. If the number of orders follow a…

A: Given,The average no.of orders per day (λ)=10A random variable X~Poisson(λ=10)P(X=x)=e-λ×λxx!  ;…

Q: at a computer telephone service on the average of 30 ance with a Poisson process, what is the…

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

A:

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.