7. The Poisson distribution is a probability distribution that is used to model the number of occurrences of rareevents in a fixed interval of time, space, or some other unit. It's particularly suitable for situations where eventsare rare and random, and each event is independent of the others. The distribution is named after the Frenchmathematician Siméon Denis Poisson. Now, with the full definition of the Poisson distribution in mind, whichof the following scenarios cannot be correctly modeled using the Poisson distribution?A. Count of customer arrivals at a store in a given hour.B. Number of emails received in a day.C. Number of cars passing by a toll booth in a minute.D. Number of earthquakes in a year.Number of defective items in a production line.F. Number of goals scored in a soccer match.

The definition of the Poisson distribution is provided as follows:The random and rare events…

Answered: 7. The Poisson distribution is a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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9. The demand for a product of Carolina Industries varies greatly from month to month. The probability distribution in the following table, based on the past two years of data, shows the company's monthly demand. Unit Demand Probability 300 0.20 400 0.30 500 0.35 600 0.15 (a) If the company bases monthly orders on the expected value of the monthly demand, what should Carolina's monthly order quantity be for this product? (b) Assume that each unit demanded generates $70 in revenue and that each unit ordered costs $50. How much will the company gain or lose in a month (in dollars) if it places an order based on your answer to part (a) and the actual demand for the item is 300 units? $
Adult men's heights (in inches) are normally distributed with μ = 70 and σ = 3. Adult women heights (in inches) are normally distributed with μ = 67 and σ = 2. Members of the "Beanstalk Club" must be at least six feet (72 inches) tall. (a) If a man is selected at random, what is the probability that he is eligible for the Beanstalk Club? (b) If a woman is selected at random, what is the probability that she is eligible for the Beanstalk Club?
kindly help me with this problem in JOINT PROBABILITY DISTRIBUTION follow this formath Given; Required; & Solution thank you!
What is the difference between discrete and continuous probability distributions? We will solve this problem with Excel Using BINOMDIST. Suppose that 48% of individuals 85 years and older have Alzheimer’s Disease. You go to a nursing home that has been feeding residents a diet consisting of natural, organic, and healthy foods including free range chickens, omega 3 eggs, flax seed, etc. You find that only 29 of 100 residents who are 85-years and older have Alzheimer’s disease? What is the likelihood of this outcome? Use the formula for the corresponding probability distribution to solve the problem. A manufacturer of television set known that on an average 5% of their product is defective. They sells television sets in consignment of 100 and guarantees that not more than 2 set will be defective. Which probability distribution is appropriate for use in the scenario? What is the value of λ? Write down the formula for the Probability Distribution. What is the probability that the…
Despite all efforts by the quality control department, the fabric made at benton corporation always contains a few defects. A certain type of fabric made at this corporation contains an average of 0.51 defects per 500 yards. Using the Poisson formula, find the probability that the number of defects in a given 500-yard piece of this fabric will be between two and four.P(between 2 and 4) =
(a) The number of houses sold by an estate agent follows a Poisson distribution, with a mean of 2 per week Find the probability that in the next 4 weeks the estate agent sells exactly 3 houses. ii Find the probability that in the next 4 weeks the estate agent sells more than 5 houses. Find the probability that in the next 4 weeks the estate agent sells at most 4 houses.
Person P is walking with his dog every day. He decides to model the time intervals between dog encounters (i.e., how long does it take between two encounters) with the independent random variables Y₁, . . ., Yn . Number of dogs encounters per day, the number of customers entering a store per hour, the number of bacteria per liter of water, etc. are classically modelled using the Poisson distribution. With an exponential distribution, on the other hand, is used for modelling intervals of between events and how long a light bulb lasts, for example. After learning this, person P decides to model the observations in such a way that the corresponding random variables Y1,..., Yn for a random sample, that is, independent observation, of the exponential distribution Exp(1/µ), µ > 0. The parameter µ > 0 is used as the statistical model parameter 1 which is the expected value of each observation random variable Yi. (a) Form the maximum likelihood estimate μ^(y) in the model for the parameter μ…
6. For an insurance coverage, claim counts follow a binomial distribution with m = 4. q varies by insured with the following probabilities: 0.1 0.2 0.3 Probability 0.5 0.25 0.25 An insured submits 0 claims in the first year and 3 claims in the second year. Calculate the predictive probability of the same insured submitting 0 claims in the third year.
5. Based on recent records, the manager of a car painting centre has determined the following probability distribution for the number of customers per day: 1 3 4 P(X = x) 0.05 0.2 0.3 0.25 0.15 0.05 А. f the centre has the capacity to serve three customers per day, what is the probability that one or more customers will be turned away on a given day? В. What is the probability that the centre's capacity will not be fully utilized on a day? С. away is no more than 0.1? By how much the capacity must be increased so the probability of turning customer 2. il
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Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…

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