(b) Assume the die is rolled n = 100 times and we observe y = 32 sixes and z = 12 ones. (1) How would you model the outcome of this experiment? Clearly state your statistical model. (2) Using your model, find the likelihood function and the log-likelihood function of 0 (given the data). (3) Find the maximum likelihood estimate 0 of 0 and its standard error.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.