1. Consider the distribution that P(X = j) = (1/2)+1 + (1/2)2³¬1/3', j = 1,2, ·.. Generate 1000 samples and estimate E[X] and Var(X) according to your samples. (Hint: The algorithm is not unique for...

how would i approach this question in r programming

a rough pseudocode will do

Extracted text: 1. Consider the distribution that P(X = j) = (1/2)+1 + (1/2)2³¬1/3', j = 1,2, ·.. Generate 1000 samples and estimate E[X] and Var(X) according to your samples. (Hint: The algorithm is not unique for this question. In case you have to generate geomet- ric random variables, please note that you can use the inversion by truncation algorithm.)