Answer each question with a minimum of 40 words per question:
1) 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.
2) 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
3) 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.
4) 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.
5) 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.