Develop a general algorithm in R to draw random samples from the following distribution in picture Your

write$-$up should include the following parts:

$$ Give the algorithm in detail steps for a general parameter

$$ Draw a sample of size $1000$ for the distribution with a specific parameter value and compare the empirical distribution of your data to the target pdf$.$

$$ Evaluate the efficiency $($theoretically and empirically$)$ of your sampling algorithm. Does the efficiency change with the parameter values? Make some comments on this issue.

$$ Make nice plots and summary tables to show your sampling results and conclusions.