explain the interpretation of binomial and poisson random variables and how based on their definitions

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orchestra answered 1 year ago

Unit 5 deals with two types of discrete random variables, the Binomial and the Poisson, and...

Unit 5 deals with two types of discrete random variables, the Binomial and the Poisson, and two types of continuous random variables, the Uniform and the Exponential. Depending on the context, these types of random variables may serve as theoretical models of the uncertainty associated with the outcome of a measurement. Give an example, USING YOUR OWN WORDS (NOT TEXT COPIED FROM THE INTERNET), of how either the Poisson or the Exponential distribution could be used to model something in...

Suppose X1, X2, . . ., Xn are iid Poisson random variables with parameter λ. (a)...

Suppose X1, X2, . . ., Xn are iid Poisson random variables with parameter λ. (a) Find the MVUE for λ. (b) Find the MVUE for λ 2

Let X1, X2, . . . , Xn be iid Poisson random variables with unknown mean...

Let X1, X2, . . . , Xn be iid Poisson random variables with unknown mean µ 1. Find the maximum likelihood estimator of µ 2.Determine whether the maximum likelihood estimator is unbiased for µ

I need to figure this out in rstudio how to calculate this for Binomial and Poisson...

I need to figure this out in rstudio how to calculate this for Binomial and Poisson Distributions Type 2 diabetes is becoming increasingly prevalent among the American adult population. Currently, 9.4% of American adults have diabetes (Centers for Disease Control and Prevention News Release, July 18, 2017). Suppose that 1000 American adults are randomly chosen and tested for Type 2 diabetes. Use R to find the following probabilities, assuming that the rate of type 2 diabetes is 9.4%. Your R...

Probability Mass Functions, Random Variables Find a table of the Binomial random variable (include a picture...

Probability Mass Functions, Random Variables Find a table of the Binomial random variable (include a picture of the table in your submission) and obtain the probability that in 20 independent trials, each of which has probability of success equal to 0.1, the number of successes is less than or equal to 3. Repeat the problem using instead of a Binomial a Poisson with suitable parameter lambda.

Let Xi's be independent and identically distributed Poisson random variables for 1 ≤ i ≤ n....

Let Xi's be independent and identically distributed Poisson random variables for 1 ≤ i ≤ n. Derive the distribution for the summation of Xi from 1 to n. (Without using MGF)

X1 and X2 are two independent random variables that have Poisson distributions with mean lambda1 and...

X1 and X2 are two independent random variables that have Poisson distributions with mean lambda1 and lambda2, respectively. a) Use moment generating functions, derive and name the distribution of X = X1+X2 b) Derive and name the conditional distribution of X1 given that X = N where N is a fixed positive integer. Please explain your answer in detail. Please don't copy other answers. Thank you; will thumb up!

Compare and contrast the Poisson and Negative binomial model. What happens if the Poisson distribution is...

Compare and contrast the Poisson and Negative binomial model. What happens if the Poisson distribution is the true data-generated process and a negative binomial regression model is estimate. What happens if the negative binomial distribution is the true data-generating process and a Poisson regression model is estimated?

Using I.uniform,II binomial , III. exponential and IV. Poisson random variable for each solve the following...

Using I.uniform,II binomial , III. exponential and IV. Poisson random variable for each solve the following A. What is the average of the 500 sample means when the sample size is n = 5? What is the average of the 500 sample means when the sample size is n = 50? What are the theoretical expected values of sample means, respectively? b. For n = 5 and n = 50, what are the variances of the 500 sample means, respectively?...

The binomial and Poisson distributions are two different discrete probability distributions. Explain the differences between the...

The binomial and Poisson distributions are two different discrete probability distributions. Explain the differences between the distributions and provide an example of how they could be used in your industry or field of study. In replies to peers, discuss additional differences that have not already been identified and provide additional examples of how the distributions can be used.

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