Find an example through a web search of a similar problem, and explain why the example you chose...

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Find an example through a web search of a similar problem, and explain why the example you chose uses independent random variables. Consider an experiment that consists of rolling a die. We can consider a number of random variables de?ned on this sample space. State some of these random variables. Consider some pairs of these random variables.

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Answer each question with a minimum of 40 words per question: Consider problem 5.71 (regarding telephone calls made independently of each other). Find an example through a web search of a similar problem, and explain why the example you chose uses independent random variables. Consider an experiment that consists of rolling a die. We can consider a number of random variables de?ned on this sample space. State some of these random variables. Consider some pairs of these random variables. Which of these pairs are independent, and which are dependent Consider the height of a person as a random variable. Some possible random variables include time a person wakes up in the morning, weight, and IQ. Name three other possible random variables, and explain whether your provided random variables are correlated to the height of a person. In your own words, describe what a multinomial experiment is. Provide an example of an experiment that is multinomial (not binomial) and explain why this experiment satisfies the definition. Conduct a web search for "order statistics." Find and post an example of an experiment that uses order statistics, and explain why order statistics are appropriate for your example. Explain some of the differences between the method of distribution functions, the transformation method for finding the probability distribution of a function of random variables, the moment-generating function method for finding the probability distribution of a function of random variables.

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David · Accepted Answer

Order ID: TTs171112_12600_121
Assignment ID: Ottawadisc678
Answer 1) We consider the example of cars entering a highway. It has following properties
1. Total number of cars driving on the highway is very large.
2. A single car uses a very small percentage of the highway resources.
3. Decision to enter the highway is independently made by each car driver.
So variable is independent. This is one of the important assumptions of Poisson distribution which is used to solve such type of M/M/1 queuing theory. 
Answer 2) if we are interested in finding number of times 2 comes up in throw of a die 3 times random variable will be
X: 0,1,2,3 
Or X: 0,1,4,9,16,25,36 which is square of the outcome
Or if we throw die two times and note down outcomes each time as follows
(1,1), (1,2),(1,3)…….,(6,4), (6,5), (6,6) then these pair are independent as outcome of first does not affect the outcome of second.
If outcome of first affect the outcome of second the air is called dependent
As in what is the number after getting a even number in this case it is dependent.
Answer 3) Three other random variables are 
1. Nutrition: better  nutrition have effect of height of a person
2. Gender: is correlated to height as males are taller than females.
3.  How long the longest bones become, such as the femur (in the upper leg): as the longer the longest bone of body longer the height.
Answer 4) A multinomial experiment is an experiment that meets the following conditions:
· The number of trials is fixed.

Find an example through a web search of a similar problem, and explain why the example you chose uses independent random variables. Consider an experiment that consists of rolling a die. We can...

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