(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 statisticalmodel.(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.(4) Based on your model and the data, what conclusion do you draw about whether thedie is biased or not?HINT: You may assume that the sampling distribution of your estimator is approx-imately normal. Task 1. The points on opposite sides of a die add up to seven. Assume that you suspect thata die is biased towards rolling sixes. One possible model for the outcome X of a roll of this diewould be to use the following probability mass function for X:12 3 4 56Pr[X = x] | – 011+ 06.6.where 0 < 0 < is unknown.

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(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.

(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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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