Accidents occur at an intersection at a Poisson rate of 2 per day. What is the probability that there would be no accidents on a given day? What is the probability that in January there are at least 3 days (not necessarily consecutive) without any accidents?

Q: (1) a washing machine in Luigig laundry mat breaks down an average of three times per month. using…

A: Find the probability that the machine will have exactly 2 breakdowns. Consider the random variable X…

Q: Assume automobile arrives at a gasoline station are poisson and occur at an average rate of 50/hr.…

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Q: A manufacturer uses electrical fuses in an electronic system. The fuses are purchased in large lots…

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Q: A new surgery is successful 80% of the time. If the results of 7 such surgeries are randomly…

A: The percentage of of the successful surgeries is 80%. 7 surgeries are randomly selected. Let X be…

Q: People arrive at a store based on a Poisson process with a constant rate of 3 per minute. What is…

A: It is given that people arrive at a store on a Poisson process with a rate of 3 per minute. Since…

Q: The time between successive calls to a corporate office is exponentially distributed with a mean of…

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Q: If electricity power failures occur according to a Poisson distribution with an average of 2…

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Q: . The number of database queries processed by a computer in any 10-second interval is a Poisson…

A: Solution-: Given : λ=5 (average)  We find, (a) P(no queries processed in a 10-second interval)=? (b)…

Q: Twenty percent of buildings in a city that are affected by a strong earthquake are damaged. Of the…

A: Let us define some events A : a building is damaged. B : a building is not damaged. E : a building…

Q: A Covid 19 testing machine at a testing centre breaks down an average of three times per year. Using…

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Q: 2. The failure of power transformers is assumed to follow a Poisson probability distribution.…

A: GivenA transformer fails once every 10 yearsfor one year = 110=0.1 per…

Q: In a Poisson process with an average arrival rate of 1.4 per hour, what is the probability the next…

A: Given , λ = 1.4 per 60 minutes  X follows exp(λ) P(X≥x) = e-λxP(X≤x) =  1- e-λx

Q: Eight percent of all colleg graduates hired by companies stay with the same company for more than 5…

A: Given data, p=8%=0.08 n=12 P(X=2)=?

Q: People arrive at a store based on a Poisson process with a constant rate of 3 per minute. What is…

A: It is given that people arrive in a store at a constant rate of 3 per minute. Thus, in 60 seconds 3…

Q: Cars arriving for gasoline at a Shell station follow a Poisson distribution with a mean of 7 per…

A: Given : λ = 7

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: In a recent​ year, an author wrote178checks. Use the Poisson distribution to find the probability​…

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Q: On average, a textbook author makes 0.8 word-processing error per page on the first draft of her…

A: Let the random variable X denotes errors in the text book. Based on the provided information, it is…

Q: Suppose that an average of 15 customers per hous arrive at a shop according to a poisson procee.…

A:

Q: Assume that the monthly worldwide average number of airplaine crashes of commercial airlines is 2.2…

A: Given average number of airplaine crashes of commercial airlines is 2.2

Q: Suppose small aircraft arrive at a certain airport, according to Poisson process, at the rate of one…

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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: In the past year, 13% of businesses have eliminated jobs. If 7 businesses are selected at random,…

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Q: A factory produces electronic components and defective components occur independently with…

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Q: A household receives an average of 1.8 pieces of junk mail per day. Find the probability that this…

A: Let X denote the number of pieces of junk mail a household recieves on a certain day. Then X follows…

Q: 2. Newspapers are sold at particular street corner during rush hour at an average rate of one every…

A: Exponential Distribution: A continuous random variable X is said to follow Exponential distribution…

Q: Grab taxis arrived at manila international airport, according to a Poisson process at the rate of 8…

A:

Q: A vending machine in a supermarket breaks down an average of four times per month. Using the Poisson…

A: Given,The average breaks down per month(λ)=4A random variable X~Poisson(λ=4)P(X=x)=e-44xx!  ;  x≥0

Q: expected time until

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Q: what is the probability that at least two people have the same birthday?

A: Given,A room has 30 people.n = 30.Not a leap year N = 365.Probability that at least 2 people have…

Q: Suppose that a random system of police patrol is devised so that a patrol officer may visit a given…

A: Let us define the random variable Y as the of number of times petrol officer may visit the beat…

Q: 7. Suppose births in a hospital occur randomly at an average rate of 1.8 births per hour. Assuming…

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Q: On average, a textbook author makes 2.5 word-processing errors per page on the first draft of her…

A: Solution  Given That, On average, a textbook author makes 2.5 word-processing error per page on the…

Q: On average, 2 people migrateabroad every 50,000 people every year. In a particular year in a city of…

A: We have to find given probability..

Q: Assume that arrivals follow a poisson probability distribution with 3 arrival rate per hour and the…

A: It is given that the arrival rate for poisson distribution is λ=3 and service rate of exponential…

Q: In the first draft of a book on probability theory, there are an average of 15 spelling errors per…

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Q: USA today reported that parkfield, CA is dubbed the worlds earthquake capital because it sits on top…

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Q: 3.21 The occurrence of accidents at a busy intersection may be described by a Poisson process with…

A: Given Information: The average rate of accidents per year is 3. Consider X as a variable that…

Q: Assume a very good NBA team has a 70% chance of winning each game it plays. During an 82-game…

A: Given:-  NBA team has a 70% chance of winning toatl match = 82 we have to find average length of the…

Q: You toss a fair coin four times, and the random variable X assignsthe number of tails that appear in…

A: We first make a probability distribution  Number of heads Number of tails(X) Number of outcomes…

Q: Cars arriving for gasoline at a Shell station follow a Poisson distribution with a mean of 9 per…

A: Let us denote X=the number of cars arriving for gasoline at the Shell station Given that X follows a…

Q: Suppose bird attacks follow a Poisson process and attacks occur at a rate of 4 attacks per week What…

A: Solution

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

A: Given information- We have given the problem of Poisson distribution. Mean, λ = 3 X = Number of…

Q: Telephone calls are initiated through an exchange at the average rate of 75 per minute and are…

A:

Q: If an individual is selected at random, what is the probability that he or she has a birthday in…

A: Since we know that Number of days in July = 31 days And a yeas has 365 days

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

A:

Q: Cars arriving for gasoline at a Shell station follow a Poisson distribution with a mean of 5 per…

A: This is poisson process........