Using Poisson distribution, find the following: 1. the probability that a 6-year flood will occur 7 times in a period of 20 years, 2. the probability that it will not occur at all, and 3. how many floods of this magnitude will occur on an average during 20 years?

Q: Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find…

A: The Poisson distribution is given by P(X= x) = e-λλxx! Mean = 7

Q: Assume the Poisson distribution applies. Use the given mean to find the indicated probability Find…

A: Given that, Poisson distribution with mean, μ=9

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

A: Given information: Mean, λ=2.6 Let X = number of requests of male patients for emergency eye…

Q: Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find…

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Q: The number of messages that you receive in an hour follows a Poisson distribution with mean 1…

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Q: The average number of traffic accidents on a certain section of highway is two per week. Assume that…

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Q: Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find…

A: Obtain the probability that X equals 6.   The probability that X equals 6 is obtained below as…

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

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

A: We have find givan probability..

Q: Using the formula for a Poisson Distribution,  solve this problem  The pancake house is popular and…

A: The Poisson distribution is popular for modeling the number of times an event occurs in an interval…

Q: Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find…

A: Let X follows Poisson(3)

Q: (b) Fit a Poisson distribution to the following table: 1 143 and calculate the theoretical…

A: Given data : x 0 1 2 3 4 5 6 f 103 143 98 42 8 4 2 P(r) = mr e-mr! m = ∑fi xifi     =…

Q: For the past 105 years, a certain state suffered 39 direct hits from major (category 3 to 5)…

A: Thank you for posting this question. It seems that you have posted a question with multiple…

Q: Consider a Poisson distribution with a mean of two occurrences per time period.   d. Compute the…

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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: Use the Poisson distribution tables, not the mathematical formula.  It is estimated that 2% of the…

A: Given : 2% of the people in an auditorium of 100 unmarried/not related adults own a second home i.e…

Q: Q5 The occurrence of severe floods can be modeled with a Poisson process. Based on the past records,…

A: Given that in 20 years there are 4 severe floods.So per year 420=0.2 floods on an average. Let X=the…

Q: Consider a Poisson distribution with a mean of two occurrences per time period.a. write the…

A: a. The Poisson distribution with a mean of two occurrences per time period is considered.  The…

Q: The number of emergency admissions to a hospital each day has a Poisson distribution with mean 2.…

A: Given : X = The number of emergency admissions to a hospital each day.  X ~ Poisson (mean=2) We have…

Q: The number of patients who arrive in the Providence emergency room between 5 and 6pm has a Poisson…

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Q: In a specific area, this period of time, it is believed that the number of thunderbolts that are…

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Q: For the past 108 years, a certain state suffered 34 direct hits from major (category 3 to 5)…

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Q: 4) The number of times a passenger train arrives on time in Polokwane follows a Poisson…

A: Solution

Q: 4. In a time-sharing computer system, the number of teleport inquiries averages 0.2 per millisecond…

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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: Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find…

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Q: The number of stork sightings on a route in South Carolina per year follows a Poisson distribution…

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

A: Number of flaws, X ~ Poisson(0.06 flaw per square meter)

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

A: Let, X = Number of requests from male patients for emergency eye treatment. X~Poisson(λ=2.6) The…

Q: 1. The data records the length of stay of engineering students in the university. We will assume a…

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Q: Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find…

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

A: Given,The mean number of hurricanes in a certain area is 5.4Let X=no.of hurricanes in a certain…

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

A: Solution: Let X be the number of hurricanes in a certain area. From the given information, X follows…

Q: Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find…

A: Let X be the random variable from Poisson distribution with mean (μ) or ( (λ) = 7 then  We will find…

Q: In a communication system there is one error every 10 seconds, in average. If the nurmber of errors…

A: Obtain the probability that in 30 seconds there is at least one error. The probability that in 30…

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

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Q: 4) The number of times a passenger train arrives on time in Polokwane follows a Poisson…

A: Given that : The number of times a passanger train on time follow poisson distribution.  The train…

Q: In a town 10 accidents took place in a span of 50 days. Assuming that the number of aCcidents per…

A: Let X denote the number of accidents per day. It is given that Number of accidents in 50 days = 10,…

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

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Q: - Calculation required... 1) Tree pollens can be significant allergens. At the peak secason, the…

A: X~Pois(λ=average=3.8)  P(X=3)=?

Q: The number of visits to a website follows a Poisson distribution and occurs at an average of 100…

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Q: Suppose that insurance companies did a survey. They randomly surveyed 450 drivers and found that 310…

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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: Determine if the following scenarios follow a Poisson distribution or do not follow a Poisson…

A: A poisson distribution is used when the events is discrete is nature. Also the events occur randomly…

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: Earthquakes in California occur according to a Poisson process with rate 1 per week. What is the…

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Q: Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find…

A: Poisson distribution : The Poisson random variable defined as number of event that occur in an…

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

A: Given Information: The mean number of hurricanes in a certain area is 7.2 per year. Given the mean…