(a) What is your proposed model of data? (Hint: you are allowed to choose freely parameters of the model so that the conditions of the proposed model met.)

(b) What is the probability that we observe 2, 1, 0, 0, 17 data respectively from feature one to five?

(c) What is the probability that we observe at most 4 data from the last feature?

(d) Compute the correlation between the first and second features?

Please use the R package

(e) Generate 1000 samples from your proposed model in part (a).

(f) Find the sample correlation between the first and the second features. (g) Compare the sample and model correlation between these two features.