a) Briefly explain in your own words with clear examples what you understand by binomial and Poisson distribution

Q: What is the variance in the number of successes during a 36 minute period?

A: Let X denote the number of successes during a 36 minute period. Given that  Expected success per…

Q: what is the probability of observing exactly three accidents on this stretch of road during a month…

A: Given problem is Poisson distribution Let X: Accidents on stretch  road  Mean=m=7.4

Q: You work with the office of city planning which is currently evaluating a new contract for a major…

A: X~ Poisson(λ) Then  P(X =x) = e-λλxx!; x = 0,1,...

Q: Derive that mean and variance of the poisson distribution using exponential families.

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Q: Trams arrive at a tram stop at a frequency of 15 per hour. What is the prob 3 trams arrive in 15…

A: Consider that Tram arrive at a tram stop at a frequency of 15 per hour. The tram arrive in 15…

Q: describe the characteristics of a Bernoulli process and how is it associated with with the binomial…

A: In general, the Bernoulli distribution is the distribution that represents the success and failure…

Q: Consider a machine shop having 20 machines and that the chance of any one of them mal functioning…

A:

Q: Formulate The binomial distribution has a mean of?

A:

Q: What are the requirements needed to be a binomial distribution?

A: To find: What are the requirements needed to be a binomial distribution?

Q: With regard to the use of a Poisson distribution to approximate binomial probabilities, on page 254…

A:

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: In 2019, NYC has 11,232 vehicle accidents that occurred Monday – Friday between the hours of 3pm and…

A: Given Information:  NYC has 11,232 vehicle accidents that occurred Monday – Friday between the hours…

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

A:

Q: Flaws occur in the interior of plastic used for automobiles according to a Poisson distribution with…

A: Given,   Let X follows Poisson distribution with parameter λ=0.05   Poisson distribution:

Q: 2. The number of hits to your web site is a Poisson process with a rate of 3 per day. (a) What is…

A: The number of hits to the website is a Poisson process with a rate of 3 per day. Therefore, for four…

Q: A hypergeometric and a Poisson probability distribution have the same mean. Which has the larger…

A: If one were to see that r/N (of the hypergeometric Distribution) is similar to p, The expected…

Q: 4. Chris has a 1% chance of typing a word incorrectly. Find, to three decimal places, the…

A:

Q: In a study of the effectiveness of an insecticide against a certain insect, a large area of land was…

A: Given data ,λ=0.5

Q: What is the binomial distribution?

A: The binomial probability distribution is a discrete probability distribution in which the outcomes…

Q: Suppose we are counting successes in a Poisson process where we expect 12 successes per hour. What…

A:

Q: Show that Poisson distribution is a limiting form of negative binomial distribution.

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Q: In a recent survey, approximately 90% of U.S. adults own a cell phone. Let's assume this can be…

A: Given Information :  In a recent study , approximately 90% of US adults own a cell phone . Lets…

Q: The number of work-related injuries per month in a manufacturing plant is known to follow a Poisson…

A: Let ‘x’ be the number of work –related injuries per month in a manufacturing plant X ~ poisson…

Q: Suppose we are counting successes in a Poisson process where we expect 15 successes per hour. What…

A: Let X denote the number of successes then   X~P(λ)  where λ is the average number of success per…

Q: Distinguish between the Binomial and Poisson probability distributions.

A: Answer:- Binomial distribution describes the distribution of binary data from a finite sample. Thus…

Q: The number of accidents in a production facility has a Poisson distribution with a mean of 2.6 per…

A: Given: X~P(λ)λ=2.6

Q: 9. Derive Poisson distribution as a binomial distribution. limiting form of

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Q: 6. State the Central Limit Theorem, and explain how it can be used to approximate the Binomial…

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Q: In the binomial distribution the important point is that the two а. outcomes are complementary b.…

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Q: With regard to the use of a Poisson distribution to approximate binomial probabilities, We stated…

A:

Q: 17. Show that the sample mean is sufficient for estimating the parameter in the Poisson…

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Q: A database server is designed to handle a maximum of 100 transactions per second.  If transactions…

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Q: Comment the relatonship between on distribution the Poisson and Binomal

A: Note: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: How do you know if a certain distribution falls under Poisson?

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Q: Derive the mean and the variance of Poisson Distribution

A: The p.m.f. of Poisson distribution is given by P(X=x)=e-m  mxx!        ; x=0,1,2,....…

Q: Discuss the applications of Poisson distribution.

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Q: On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail…

A: Given Data: Let X represent the random variable   X~ Poisson(2.6)

Q: On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail…

A: Expected no. of junk mails per day = 2.6 Expected no. of junk mails in 10 days = 2.6*10 = 26 = λ

Q: Flaws occur in the interior of plastic used for automobiles according to a poisson distribution with…

A:

Q: A binomial distribution is better than a Poisson distribution to describe the occurrence of major…

A: Binomial distribution helps to find the probability for the number of successes in the fixed number…

Q: In order to use the binomial distribution, which of the following conditions are necessary?

A: here use basic of binomial distribution

Q: Suppose that we plan to approximate a binomial distribution with parameters n and p by a Poisson…

A: Conditions to approximate binomial distribution with parameters n and p by a Poisson distribution is…

Q: 8- Mean, variance and third central moment of Poisson distribution are equal. O True False

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Q: What is the probability of receiving more than three pieces of junk mail today?

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Q: True or False: The number of customers arriving at a department store in a five-minute period has a…

A: When the average time between events is known and the arrival of event is independent before coming…